1. A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach?

 Christian Banks
 7 months ago
 Views:
Transcription
1 Physics R Date: 1. A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach? How much time will the clown spend in the air? Projectile Motion 1:Horizontally Launched Projectiles Two dimensional motion is motion confined to a plane (xy axis) Motion in a plane is broken down into two mutually perpendicular components. The component along the xaxis is referred to as horizontal motion while the component along the yaxis is referred to as vertical motion Horizontal motion is not affected by any external forces (as long as we consider ideal cases) Vertical motion is influenced by gravity *Mass does not matter* THE BIG IDEA What happens in the vertical dimension What happens in the horizontal dimension What happens in the xdimension What happens in the ydimension So What stays the same between the horizontal and vertical? Solving projectile motion problems The table: d vi a t x y For all projectile motion problems: a y = Vertical (y) motion is a x = Horizontal (x) motion is For horizontally (x) launched projectiles, the projectile is launched in the: direction A cannon fires a projectile horizontally (x) at 30 m/s. What is the horizontal (x) component of the initial velocity? What is the vertical (y) component of the initial velocity? For all horizontally (x) launched projectiles,
2 Horizontal (x) motion has no effect on vertical (y) motion. A gun is fired and a bullet is dropped simultaneously. Which bullet hits the ground first, the dropped or fired? For each part of each problem, determine whether you are solving a vertical or horizontal motion problem before solving. Label X or Y in the column to the left. 2. A cannon shoots a projectile horizontally (x) at 50 m/s from the top of a 70 m tall cliff. a) How much time does it take the projectile to reach the ground? b) What is the range (d x ) of the projectile? 3. A ball rolls toward the edge of a table that is 110 centimeters high and lands 2.0 meters away from its edge. a) How much time does it take the ball to reach the ground? b) Determine the speed with which the ball rolls of the edge. 4. A stunt car traveling toward the edge of a cliff at 25 meters per second lands 50 meters measured horizontally from the edge of the cliff. a) How much time does it take the car to reach the ground? b) Determine the height of the cliff. 2
3 5. A stuntman jumps off the edge of a 45 meter tall building to an air mattress that has been placed on the street below at 15 meters from the edge of the building. a) How much time does it take the stuntman to reach the ground? b) What minimum initial velocity does he need in order to make it onto the air mattress? Visualizing Horizontally Launched Projectiles A projectile is launched horizontally at 5 boxes per second. Create a motion/dot diagram along the top for the horizontal. Put an x on each spot Create a motion/dot diagram along the left for the vertical. Put a y on each spot Mark the intersections to see where the projectile would be in xy space The path or trajectory of the projectile is a: Sketch acceleration vectors for each Sketch (x and y) velocity vectors for each 3
4 6. A car in a James Bond movie flies off the end of a cliff with a velocity of 20 m/s. If the car is in the air for 10 s, find the following information: a. The height of the cliff. b. The range the car traveled. c. The location of the car after 5 seconds in the x and y direction. 7. A 1 kg ball is rolled off the end of a 1 m high table with a velocity of 2 m/s. Find the following: a. The time the ball was in the air. b. The range the ball traveled. c. The impact velocity in the x and y direction AND the resultant velocity 4
5 Identifying Variables: Identify the following variables (i.e. d x d y v ix, a y, etc.) 8. A student standing on the roof of a 80meterhigh (A) building kicks a stone at a horizontal speed of 4 meters per second (B). How much time does it take the stone to hit the ground? What is the question asking for? What are the hidden or unstated variables? A: B: Fill in the table to the right 9. A ball is thrown horizontally at a speed of 14 meters per second (A) from the top of a cliff. If the ball hits the ground 4.0 seconds (B) later, approximately how high is the cliff? What is the question asking for? What are the hidden or unstated variables? A: B: Fill in the table to the right Horizontally Launched Projectile Practice What happens in the xdimension stays in the xdimension What happens in the ydimension stays in the ydimension What does this mean? Use the table at the right. A projectile is launched horizontally at 20 m/s. Four seconds later it hits the ground. What is the range of the projectile (d x or d y )? Which v i should I use to get the range? Which a? Solve for the range. x y d vi 20 m/s 0 a m/s2 t 4 s What is the initial height of the projectile (d x or d y )? Which v i should I use to get the range? Which a? Solve for the height. 10. A cannonball launches horizontally off a tall cliff at 40 m/s. Another ball is dropped. Which one will hit the ground first? Why? After 4 seconds, what is the range of the cannonball? If a train was traveling at 40 m/s, how far would that travel in 4 seconds? How does this compare to the cannonball? 5
6 11. The Enola Gay is traveling horizontally at 75 m/s at an altitude of 9470 m, when it drops the bomb. What is the initial horizontal and vertical velocity of the bomb? Create a motion/dot diagram along the top for the plane. Create a motion diagram for the bomb dropped underneath it. What does this mean for the plane and the bomb? Where is the plane when the bomb hits the ground? 12. A plane is flying horizontally at an altitude of 1200 m at a speed of 150 m/s. It drops a package to land on an island. How far away from the island should the plane be when it releases the package? (Hint: Create a table. You may need to find something in common between x and y) 13. Three cannons fire three different cannon balls horizontally off the top of the same 30meter tall cliff different velocities as shown in the table below. Cannon Ball Velocity (m/s) A 40 m/s B 70 m/s C 90 m/s a) Which cannon ball hits the ground first? How do you know? b) What is the horizontal velocity of Cannon Ball A after 2 seconds? c) What is the horizontal component of Cannon Ball B s velocity when it hits the ground? d) How long does it take for Cannon Ball C to hit the ground? e) What is the horizontal range of Cannon Ball C? 6
7 14. A plane is flying horizontally at 120 m/s when it releases a package. The package crash lands on an island 12.7 seconds later. a) What is the horizontal component of the package s velocity the instant it hits the ground? b) What is the vertical component of v the instant it hits the ground? c) What is the resultant velocity the instant it hits the ground? Vector Components Into how many components can a vector be split? 15. A soccer ball is kicked at 25 degrees from the horizontal with an initial velocity of 25 m/s. a) What is the xcomponent of the ball s initial velocity? b) What is the ycomponent of the ball s initial velocity? 16. A little boy pulls a wagon with a force of 17 N at an angle of 23 degrees. a) What is the horizontal component of the boy s force? b) What is the vertical component of the boy s force? 3. Gravity pulls down on the box to the right with a force of 100 N. a) What is the component of the force parallel to the incline? b) What is the component of the force perpendicular to the incline? 7
8 Projectile Motion 2: Ground Launched Projectiles Ground launched projectiles are just like horizontally launched projectiles, except that v initial is not completely horizontal (v iy doesn t equal zero). 17. A cannon fires a shot with an initial velocity of 80 m/s at an angle 27 degrees above the horizontal a) What is the horizontal component of the initial velocity? (make a sketch) b) What is the vertical component of the initial velocity? c) At the peak of the trajectory, what is the horizontal component of the velocity? d) At the peak of the trajectory, what is the vertical component of the velocity? e) How much time does it take the projectile to reach the peak? (Make a table. Include v f ) 18. A baseball is hit with an initial velocity of 35 meters per second at an angle of 18 above horizontal. a) Calculate the vertical component of the ball s initial velocity b) How much time will it take the baseball to reach the top of its flight? c) How much total time will the baseball spend in the air? 19. A placekicker strikes a football with a horizontal velocity of 22 meters per second and vertical velocity of 10 meters per second. The ball reaches its maximum height within 1.02 seconds. a) What is the total time that the ball will spend in the air? b) Calculate the horizontal distance that the football will travel during its flight. 20. A ball is thrown with an initial velocity of 15 meters per second at an angle of 20 above the horizontal. a) Determine the vertical component of the ball s initial velocity. b) Determine the ball s total time of flight. 8
9 Ground Launched Projectile Practice For any projectile motion, we know that: 21. A soccer ball is kicked with an initial velocity of 20 m/s at an angle of 30 degrees a) What is the horizontal component of the initial velocity? b) What is the vertical component of the initial velocity? Sketch acceleration along the path shown Sketch horizontal velocity along the path shown c) What is the horizontal component of velocity at the peak? Sketch vertical velocity along the path shown d) What is the vertical component of velocity at the peak? e) What is the horizontal component of velocity at the end? f) What is the vertical component of velocity at the end? g) How much time does it take the ball to reach the peak? h) How much total time does the ball spend in the air? i) What is the maximum height the ball reaches? j) What is the total range of the ball? 9
10 22. A baseball is hit with an initial velocity of 35 meters per second at an angle of 18 above horizontal. a. Sketch the baseball s trajectory. Indicate the point at which the ball s vertical velocity is 0. b. Calculate the vertical component of the ball s initial velocity. c. Calculate the time that it will take for the ball to reach the top of its flight. Explain how this amount of time is related to the total amount of time that the ball will remain in the air. d. Calculate the maximum height that the ball will reach. 23. A placekicker strikes a football with a horizontal velocity of 22 meters per second and vertical velocity of 10 meters per second. The ball reaches its maximum height within 1.02 seconds. a. What is the total time that the ball will spend in the air? b. Calculate the horizontal distance that the football will travel during its flight. 24. A ball flies through a parabolic path and passes through points A, B, and C. Compare the a. vertical accelerations A, B, and C. b. vertical velocities at A, B, and C. c. horizontal accelerations A, B, and C. d. horizontal velocities at A, B, and C. 10
11 Ground Launched Projectiles: Angles Create a sketch showing a projectile launched at 0, 30, 45, 60, and 90 degrees. Label them as such. At what angle will the soccer ball have the greatest range? As the angle goes from 030 degrees, what happens to the range? At what angle will the soccer ball have the greatest height? As the angle goes from degrees, what happens to the height? At what angle will the soccer ball spend the most time in the air? As the angle goes from degrees, what happens to time in the air? 25. A bullet is fired horizontally and another bullet is dropped simultaneously from the same height. If air resistance is neglected, which bullet hits first, explain your answer. 26. Does a ball dropped out of a window of a moving car take longer to reach the ground than one dropped at the same height from a car at rest, explain. 27. A man is holding two rocks at equal heights. One is dropped and the other is thrown horizontally. (a) which rock hits first (b) which rock will have a greater velocity when it hits 28. A certain gun type fires bullets at 60 m/s regardless of its orientation. One Bullet is fired with the gun aimed at 10 above the horizontal, a second bullet is fired simultaneously at 45 above the horizontal and a third bullet is fired simultaneously at an angle of 60. Ignoring air resistance, answer the questions that follow and explain your choice for each one. (a) which hits the ground first, (b) which goes the highest, (c) which has the greatest range, (d) which has the largest x component (e) which has the greatest acceleration 11
12 Review Checklist Explain the assumptions needed to solve a horizontal projectile problem. 1. What can you assume about the horizontal and vertical accelerations of horizontally launched projectiles? 2. What critical assumption must you make about the initial vertical velocity of a horizontally launched projectile? 3. A cannon fires a cannonball horizontally from the top of a cliff with a speed of 80 m/s. What is the initial horizontal velocity of the cannonball? Sketch vectors for velocity or acceleration at different positions in a projectile s path. Compare velocities and accelerations at different points. 4. At each position: A, B, and C sketch a vector to represent the vertical and horizontal velocities of the object. b. Compare the vertical speed at A to the vertical speed at B. c. Compare the horizontal speed at B to the horizontal speed at C. d. Compare the vertical acceleration at A to the vertical acceleration at C. e. Compare the horizontal acceleration at A to the horizontal acceleration at B. Use equations to determine: time of flight; launch height; and/or horizontal distance for a horizontallylaunched projectile. 5. An object is thrown horizontally from a height of 10 meters with an initial velocity of 8.0 meters per second. How much time will it take before the object hits the ground? What horizontal distance did it travel? 6. A ball is thrown horizontally with an initial velocity of 5.0 meters per second. The ball travels 15 meters horizontally before it lands. How much time was the ball in the air for? What vertical height was it thrown from? 7. A projectile is fired horizontally from a height of 15.0 meters above the ground. The projectile travels 40 meters horizontally from the point from which it was fired before it lands. What initial velocity was the projectile fired with? Determine Vector Components, including components of a groundlaunched projectile s initial velocity. 8. A projectile is launched with a velocity of 200 meters per second at an angle of 35 above the horizontal. What are the vertical and horizontal components of the projectile s initial velocity? Explain the assumptions needed to solve a groundlaunched problem. 9. What can you assume about the horizontal and vertical accelerations of groundlaunched projectiles? 10. What can you assume about the relationship between the time that it takes for a groundlaunched projectile to reach its maximum height and its total time of flight? 12
13 Sketch vectors for velocity or acceleration at different positions in a projectile s path. Compare velocities and accelerations at different points. 11. At each position: A, B, and C sketch a vector to represent the vertical and horizontal velocities of the object. b. Compare the vertical speed at A to the vertical speed at B. c. Compare the horizontal speed at B to the horizontal speed at C. d.compare the vertical acceleration at A to the vertical acceleration at C. e. Compare the horizontal acceleration at A to the horizontal acceleration at B. Use equations to determine: time of flight; max height; horizontal distance; and/or launch angle for a groundlaunched projectile. 12. A ball is thrown with an initial velocity of 15 meters per second at an angle of 20 above the horizontal. a. Determine the vertical component of the ball s initial velocity. b. Determine the ball s total time of flight. 13. A rock that is projected with an initial velocity of 24 meters per second at an angle of 60 above horizontal takes 2.12 seconds to reach its maximum height. a. What is the horizontal component of the ball s initial velocity? b. What total horizontal distance will the rock travel before it lands? 14. A projectile is fired with an initial vertical velocity of 12 meters per second and an initial horizontal velocity of 15 meters per second. a. Determine the maximum vertical height that the projectile will reach. b. Determine the total time the projectile will spend in the air. Relate launch angle to: time of flight; max height; and horizontal range 15. At what launch angle will a projectile have: a. Maximum height? b. Maximum range? c. Maximum time in air? 16. Compare a. the time spent in the air for a rock thrown at an angle of 30 to the time spent in the air for a rock thrown at 70. b. the max height reached by a rock thrown at an angle of 40 to the max height for a rock thrown at 10. c. the horizontal range for a rock is thrown at an angle of 40 to the horizontal range for a rock thrown at
14 Review Checklist Answers: 1. a x = 0, a y = 9.8 m/s 2 2. v iy = m/s 4. b. larger at B c. same d. same (9.8 m/s 2 ) e. same (0) s, 11.43m 6. 3s, 44.1 m m 8. v iy = 115 m/s, v ix = 164 m/s 9. a x = 0, a y = 9.8 m/s t total = 2 x (t max height ) 11. b. less (zero) at B c. same d. same (9.8 m/s 2 ) e. same (0) 12. a m/s b s 13. a. 12 m/s b m 14. a. 7.3 m b. 2.4 s 15. a. 90 b. 45 c a. Greater for 70 b. Greater for 40 c. Greater for 40 14
KinematicsProjectiles
1. A volleyball hit into the air has an initial speed of 10 meters per second. Which vector best represents the angle above the horizontal that the ball should be hit to remain in the air for the greatest
More informationUnit 2 Review: Projectile Motion
Name: Unit 2 Review: Projectile Motion Date: 1. A projectile is fired from a gun near the surface of Earth. The initial velocity of the projectile has a vertical component of 98 meters per second and a
More informationTEACHER ANSWER KEY December 10, Projectile Review 1
Projectile Review 1 TEACHER ANSWER KEY December 10, 2004 4 1. A baseball player throws a ball horizontally. Which statement best describes the ball's motion after it is thrown? [Neglect the effect of friction.]
More information1. downward 3. westward 2. upward 4. eastward
projectile review 1 Name 11DEC03 1. A baseball player throws a ball horizontally. Which statement best describes the ball's motion after it is thrown? [Neglect the effect of friction.] 1. Its vertical
More informationQUESTION 1. Sketch graphs (on the axes below) to show: (1) the horizontal speed v x of the ball versus time, for the duration of its flight;
QUESTION 1 A ball is thrown horizontally from a cliff with a speed of 10 ms 1 shown in the diagram at right. Neglecting the effect of air resistance and taking gravitational acceleration to be g +9.8ms
More informationQUESTION 1. Sketch graphs (on the axes below) to show: (1) the horizontal speed v x of the ball versus time, for the duration of its flight;
QUESTION 1 A ball is thrown horizontally from a cliff with a speed of 10 ms 1 shown in the diagram at right. Neglecting the effect of air resistance and taking gravitational acceleration to be g = +9.8ms
More informationPractice Test: Vectors and Projectile Motion
ame: Practice Test: Vectors and Projectile Motion Part A: Multiple Choice [15 points] 1. A projectile is launched at an angle of 30 0 above the horizontal. eglecting air resistance, what are the projectile
More informationtime v (vertical) time
NT4EQRT20: PROJECTILE MOTION FOR TWO ROCKS VELOCITY AND ACCELERATION GRAPHS II Two identical rocks are thrown horizontally from a cliff with Rock A having a greater velocity at the instant it is released
More informationPhysics 11 Unit III Practice Test Projectile Motion. Instructions: Pick the best answer available in Part A and Show all your work for Part B
Physics 11 Unit III Practice Test Projectile Motion Instructions: Pick the best answer available in Part A and Show all your work for Part B 1. Which of the following is constant for all projectiles? A.
More informationTwo dimensional kinematics. Projectile Motion
Two dimensional kinematics Projectile Motion 1. You throw a ball straight upwards with a velocity of 40m/s. How long before it returns to your hand? A. 2s B. 4s C. 6s D. 8s E. 10s 1.You throw a ball straight
More informationHigher Projectile Motion Questions
Higher Projectile Motion Questions 1. a) Name the two components of motion in projectiles. b) What is the acceleration on Earth for each of these two components. 2. A pencil case is dropped vertically
More informationProjectile Motion. Regardless of its path, a projectile will always follow these rules:
Projectile Motion What is a projectile? Regardless of its path, a projectile will always follow these rules: 1. A horizontally launched projectile moves both horizontally and vertically and traces out
More informationProjectile Motion applications
Projectile Motion applications 1. A stone is thrown horizontally at a speed of 10.0 m/s from the top of a cliff 78.4 m high. a. How long does it take the stone to reach the bottom of the cliff? b. How
More informationUnit 4: Projectiles ( Angled Projectiles )
Unit 4: Projectiles ( Angled Projectiles ) When dealing with a projectile that is not launched/thrown perfectly horizontal, you must start by realizing that the initial velocity has two components: an
More informationCHAPTER 1. Knowledge. (a) 8 m/s (b) 10 m/s (c) 12 m/s (d) 14 m/s
CHAPTER 1 Review K/U Knowledge/Understanding T/I Thinking/Investigation C Communication A Application Knowledge For each question, select the best answer from the four alternatives. 1. Which is true for
More informationOctober 09, Ch04 2Dmotion.notebook. Honors Physics Chapter 4. Scalar Vector Resultant. Components
Honors Physics Chapter 4 Scalar Vector Resultant Components 1 When we take two vectors and ADD them, the thing we get is called the RESULTANT, or VECTOR SUM. It is also possible to take a single vector
More informationExercise on Projectile Motion (UnitIII)
Engineering Mechanics Exercise on Projectile Motion (UnitIII) 1 A projectile is fired with velocity 620 m/s at an angle of 40 with horizontal ground. Find the range, time of flight, maximum height attained
More informationj~/ ... FIGURE 331 Problem 9.
9. () An airplane is traveling 735 kmlh in a direction 41S west of north (Fig. 331). (a) Find the components of the velocity vector in the northerly and westerly directions. (b) How far north and how
More informationProjectile Motion Problems Worksheet
Projectile Motion Problems Worksheet For all questions, ignore the effects of air resistance unless otherwise stated. 1. One of the landing gears falls off a plane that is flying horizontally with a constant
More informationLos Altos High School Physics Two Dimensional Kinematics Workbook Problems
1. Consider a United States Coast Guard plane flying a rescue mission 300 Km West of the Faraloon Islands. The mission requires the plane's crew to deliver a 50 kg package of emergency supplies to the
More informationChapter 6. You lift a 10 N physics book up in the air a distance of 1 meter at a constant velocity of 0.5 m/s. The work done by gravity is
I lift a barbell with a mass of 50 kg up a distance of 0.70 m. Then I let the barbell come back down to where I started. How much net work did I do on the barbell? A)  340 J B) 0 J C) + 35 J D) + 340
More information5. The magnitude of a vector cannot be smaller than the magnitude of any of its components. TRUE FALSE
Physics 1 Exam 2 Practice S14 Name: Show work for ANY credit. Box answers. Assume 3 significant figures! Ignore air resistance. NEATNESS COUNTS. Conceptual Questions. (2 points each) 1. A 100 g ball rolls
More informationChapter 3: TwoDimensional Motion and Vectors
Assumption College English Program Mr. Stephen Dobosh s EP M 4 P h y s i c s C l a s s w o r k / H o m e w o r k P a c k e t Chapter 3: TwoDimensional Motion and Vectors Section 1: Introduction to Vectors
More informationProjectile Motion. A projectile may also start at a given level and then move upward and downward again as does a football that has been
Projectile Motion Vocsiary Projectile: An object that moves through space acted upon only by the earth s gravity. A projectile may start at a given height and move toward the ground in an arc. For example,
More informationACTIVITY THE MOTION OF PROJECTILES
Name (printed) ACTIVITY THE MOTION OF PROJECTILES First Day Stamp INTRODUCTION In this activity you will begin to understand the nature of projectiles by mapping out the paths of two projectiles over time;
More informationSTUDY GUIDE UNIT 7  PROJECTILES
Name Mods STUDY GUIDE UNIT 7  PROJECTILES Date Agenda Homework Tues 11/17 Wed 11/18 Thurs 11/19 Fri 11/20 Mon 11/23 Tues 11/24 Lab  Projectiles Share Lab Data Go over lab Start problem set 1 Go over
More informationCalculate the horizontal component of the baseball's velocity at an earlier time calculated in part (a).
Ch3 Supplemental [ Edit ] Overview Summary View Diagnostics View Print View with Answers Ch3 Supplemental Due: 6:59pm on Monday, February 13, 2017 To understand how points are awarded, read the Grading
More informationFree Fall, Hang Time, and Projectile Motion Worksheet NO WORK NO CREDIT
Free Fall, Hang Time, and Projectile Motion Worksheet d = d + v t + ½ a t 2 Hang Time: time = time v = v + a t time = 2 time Free Fall These equations can be used to solve for the motion in the xdirection
More informationACTIVITY THE MOTION OF PROJECTILES
Name (printed) ACTIVITY THE MOTION OF PROJECTILES First Day Stamp INTRODUCTION In this activity you will begin to understand the nature of projectiles by mapping out the paths of two projectiles over time;
More information5. A bead slides on a curved wire, starting from rest at point A in the figure below. If the wire is frictionless, find each of the following.
Name: Work and Energy Problems Date: 1. A 2150 kg car moves down a level highway under the actions of two forces: a 1010 N forward force exerted on the drive wheels by the road and a 960 N resistive force.
More informationWrite these equations in your notes if they re not already there. You will want them for Exam 1 & the Final.
Tuesday January 30 Assignment 3: Due Friday, 11:59pm.like every Friday PreClass Assignment: 15min before class like every class Office Hours: Wed. 1011am, 204 EAL Help Room: Wed. & Thurs. 69pm, here
More informationCHAPTER 10: PROJECTILE MOTION
MO OT TIIO ON N CHAPTER 10: PROJECTILE MOTION T HE FIRST HUMAN cannonball was a 14yearold girl named Zazel who toured with the P.T. Barnum Circus. A compressed spring in the cannon launched her into
More informationC) miles per hour. D) all of the above. 2) When you look at the speedometer in a moving car, you can see the car's
Practice Kinematics Questions (Answers are at the end ) 1) One possible unit of speed is. A) light years per century. B) kilometers per hour. C) miles per hour. D) all of the above.. 2) When you look at
More informationMidterm Exam: Making a Study Guide
Name: Class: Physics Teacher: Mr. Szopiak Date: Midterm Exam: Making a Study Guide This worksheet will help you and your classmates put together a pretty comprehensive guide to your midterm studying. Your
More informationPHYSICS REVIEW SHEET 2010 MIDTERM EXAM
PHYSICS REVIEW SHEET 2010 MIDTERM EXAM Concepts And Definitions Definitions of fact, hypothesis, law, theory Explain the scientific method Difference between average and instantaneous speed and speed
More informationBig Ideas 3 & 4: Kinematics 1 AP Physics 1
Big Ideas 3 & 4: Kinematics 1 AP Physics 1 1. A ball is thrown vertically upward from the ground. Which pair of graphs best describes the motion of the ball as a function of time while it is in the air?
More informationChapter 2 Two Dimensional Kinematics Homework # 09
Homework # 09 Pthagorean Theorem Projectile Motion Equations a 2 +b 2 =c 2 Trigonometric Definitions cos = sin = tan = a h o h o a v =v o v =v o + gt =v o t = o + v o t +½gt 2 v 2 = v 2 o + 2g(  o ) v
More informationBiomechanics Sample Problems
Biomechanics Sample Problems Forces 1) A 90 kg ice hockey player collides head on with an 80 kg ice hockey player. If the first person exerts a force of 450 N on the second player, how much force does
More informationA basketball player, standing near the basket to grab a rebound, jumps 76.0 cm vertically.
1 2 A stone is dropped from the edge of a cliff. (a) What is its velocity 3 seconds later? (b) How far does it fall in this time? (c) How far will it fall in the next second of its descent? (a) 29.4 m/sec
More informationBROCK UNIVERSITY. Name: Student #: Page 1 of 12
Name: Student #: BROCK UNIVERSITY Page 1 of 12 Final Exam: July 2016 Number of pages: 12 (+ formula sheet) Course: PHYS 1P21/1P91 Number of students: 104 Examination date: 9 July 2016 Number of hours:
More informationCHAPTER 6 PROJECTILE MOTION
CHAPTER 6 PROJECTILE MOTION 1 Basic principle of analyzing projecting motion Independency of vertical and horizontal motion 2 A simple case: Horizontally projected motion An angry bird is fired horizontally
More informationKinematics Review. What distance did the object travel in moving from point A to point B? A) 2.5 m B) 10. m C) 20. m D) 100 m
Kinematics Review 1. Base your answer to the following question on the diagram below which represents a 10kilogram object at rest at point A. The object accelerates uniformly from point A to point B in
More informationEg.#1 A diver steps off a 10. m. high diving board with an initial vertical velocity of zero and experiences an average acceleration 2
1.3.1 Acceleration due to Gravity Defined as: For many years, it was thought that higher mass objects fall towards the Earth more quickly than lower mass objects. This idea was introduced in approximately
More informationExam 1 Kinematics September 17, 2010
Physics 16 Name KEY Exam 1 Kinematics September 17, 21 This is a closed book examination. You may use a 3x5 index card that you have made with any information on it that you would like. You must have your
More informationWorksheet 1.1 Kinematics in 1D
Worksheet 1.1 Kinematics in 1D Solve all problems on your own paper showing all work! 1. A tourist averaged 82 km/h for a 6.5 h trip in her Volkswagen. How far did she go? 2. Change these speeds so that
More informationVectors. Wind is blowing 15 m/s East. What is the magnitude of the wind s velocity? What is the direction?
Physics R Scalar: Vector: Vectors Date: Examples of scalars and vectors: Scalars Vectors Wind is blowing 15 m/s East. What is the magnitude of the wind s velocity? What is the direction? Magnitude: Direction:
More informationCh06 Work and Energy.notebook November 10, 2017
Work and Energy 1 Work and Energy Force = push or pull Work = force*distance (//) Technically: Work = force*distance*cos θ 2 Sample 1: How much work is done lifting a 5 N weight 3m vertically? 3 Work is
More information1 An object moves at a constant speed of 6 m/s. This means that the object:
Slide 1 / 57 1 n object moves at a constant speed of 6 m/s. This means that the object: Increases its speed by 6 m/s every second ecreases its speed by 6 m/s every second oesn t move Has a positive acceleration
More informationCHAPTER 10: LINEAR KINEMATICS OF HUMAN MOVEMENT
CHAPTER 10: LINEAR KINEMATICS OF HUMAN MOVEMENT 1. Vector mechanics apply to which of the following? A. displacement B. velocity C. speed D. both displacement and velocity 2. If velocity is constant, then
More informationAgood tennis player knows instinctively how hard to hit a ball and at what angle to get the ball over the. Ball Trajectories
42 Ball Trajectories Factors Influencing the Flight of the Ball Nathalie Tauziat, France By Rod Cross Introduction Agood tennis player knows instinctively how hard to hit a ball and at what angle to get
More informationAP Physics B Fall Final Exam Review
Name: Date: AP Physics B Fall Final Exam Review 1. The first 10 meters of a 100meter dash are covered in 2 seconds by a sprinter who starts from rest and accelerates with a constant acceleration. The
More informationOnline homework due tomorrow by 8 am Written homework due now
Homework #3 Online homework due tomorrow by 8 am Written homework due now Exam 1 Tue Feb 24 from 7 to 9 pm Help session on Mon Feb 23 from 3 to 5 pm in Goessman 64 Sample exam answers to be posted by tomorrow
More informationSecondary Physics: The Compass Rose, Cars and Tracks
Secondary Physics: The Compass Rose, Cars and Tracks Secondary Physics at the NASCAR Hall of Fame The Great Hall and Glory Road Focus object or destination in the Hall: Compass Rose, 18 compass lines,
More informationName: Answer Key Date: Regents Physics. Projectiles
Nae: Anwer Key Date: Regent Phyic Tet # 5 Review 1. Equation to know: Projectile (1) A y = Ainθ () A = Acoθ Δv vf vi vf + vi (3) a= = (4) vavg = (5) d=vit+½at Δ t tf ti (6) v f =vi+at (7) vf =vi +ad. Ter
More informationGeorgian University GEOMEDI. Abstract. In this article we perform theoretical analysis of long jumps with the purpose to find
On the t Influence of Air Resistance and Wind during Long Jump Egoyan A. E. ( alex1cen@yahoo.com ), Khipashvili I. A. Georgian University GEOMEDI Abstract. In this article we perform theoretical analysis
More informationForce, Motion and Energy Review
NAME Force, Motion and Energy Review 1 In the picture to the right, two teams of students are playing tugofwar. Each team is pulling in the opposite direction, but both teams are moving in the same direction.
More informationBIOMECHANICAL MOVEMENT
SECTION PART 5 5 CHAPTER 12 13 CHAPTER 12: Biomechanical movement Practice questions  text book pages 169172 1) For which of the following is the athlete s centre of mass most likely to lie outside of
More information1 A Mangonel is a type of catapult used to launch projectiles such as rocks. A student made a working model of a Mangonel. crossbar. bucket.
1 A Mangonel is a type of catapult used to launch projectiles such as rocks. A student made a working model of a Mangonel. crossbar bucket arm rubber band string scale handle As the handle is turned, the
More informationPhys 101 College Physics I ` Student Name: Additional Exercises on Chapter 3
Phys 0 College Physics I ` Student Name: Additional Exercises on Chapter ) A displacement vector is.0 m in length and is directed 60.0 east of north. What are the components of this vector? Choice Northward
More information1D Kinematics Answer Section
1D Kinematics 1. A bird, accelerating from rest at a constant rate, experiences a displacement of 28 m in 11 s. What is the average velocity? a. 1.7 m/s c. 3.4 m/s b. 2.5 m/s d. zero 2. A truck moves 70
More informationPhysics 2048 Test 1 Fall 2000 Dr. Jeff Saul Name:
Physics 2048 Test 1 Fall 2000 Dr. Jeff Saul Name: READ THESE INSTRUCTIONS BEFORE YOU BEGIN Before you start the test, WRITE YOUR NAME ON EVERY PAGE OF THE EXAM. Calculators are permitted, but no notes
More informationForce and Motion Test Review
Name: Period: Force and Motion Test Review 1. I can tell you that force is.. 2. Force is measured in units called. 3. Unbalanced forces acting on an object will MOST LIKELY cause the object to A. remain
More informationTable of Contents. Career Overview... 4
Table of Contents Career Overview.................................................. 4 Basic Lesson Plans HotAir Balloons Activity 1 Your First HotAir Balloon.... 5 Activity 2 Surface Area and Volume...
More informationMomentum Review. Momentum Expressed in (SI unit): kg m/s Commonly used symbols: p Conserved: yes Expressed in other quantities: p = mv
Momentum Review Momentum Expressed in (SI unit): kg m/s Commonly used symbols: p Conserved: yes Expressed in other quantities: p = mv Chapter 7 What is momentum? The momentum of an object is defined as
More informationTranscript of Ping Pong Ball Launcher Research and Design
Transcript of Ping Pong Ball Launcher Research and Design Objective To construct a mechanism to launch a ping pong ball into a garbage bin 2, 4, 6, and 8 metres away from the launcher, with restrictions:
More informationCHANGES IN FORCE AND MOTION
reflect CRACK! That s the sound of a bat hitting a baseball. The ball fl ies through the air and lands over the fence for a home run. The motion of a batted ball seems simple enough. Yet, many forces act
More informationFrames of Reference. What Do You Think? For You To Do GOALS
Activity 1 A Running Start and Frames of Reference GOALS In this activity you will: Understand and apply Galileo s Principle of Inertia. Understand and apply Newton s First Law of Motion. Recognize inertial
More informationThe Battleship North Carolina s Fire Control
The Battleship North Carolina s Fire Control Objectives: 1. Students will see the application of trigonometry that the Mark 14 gun sight used with the 20mm guns aboard the NC Battleship. (Geometry SCOS:
More informationCh. 2 & 3 Velocity & Acceleration
Ch. 2 & 3 Velocity & Acceleration Objective: Student will be able to Compare Velocity to Speed Identify what is acceleration Calculate velocity and acceleration from an equation and from slope of a graph.
More informationChapter 14. Vibrations and Waves
Chapter 14 Vibrations and Waves Chapter 14 Vibrations and Waves In this chapter you will: Examine vibrational motion and learn how it relates to waves. Determine how waves transfer energy. Describe wave
More informationI hope you earn one Thanks.
A 0 kg sled slides down a 30 hill after receiving a tiny shove (only enough to overcome static friction, not enough to give significant initial velocity, assume v o =0). A) If there is friction of µ k
More informationProject 2 Evaluation 32 Second Year Algebra 1 (MTHH )
Name I.D. Number Project 2 Evaluation 32 Second Year Algebra 1 (MTHH 039 059) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your
More informationProjectile Motion (8/24/11) (approx. completion time for just parts A & B: 1.5 h; for entire lab: 2.3 h)
Projectile Motion (//) (approx. completion time for just parts A & B:. h; for entire lab:. h) EQUIPMENT NEEDED: Mini Launcher and steel ball plumb bob pushrod meter stick carbon paper white paper Cclamp
More informationQuadratic Word Problems
Quadratic Word Problems Normally, the graph is a maximum ( x 2 /opens down) because of the real life scenarios that create parabolas. The equation of the quadratic will be given. We will only be using
More informationCh 3 Supplemental Questions [ Edit ] Exercise m/s. v0h v0v. Ch 3 Supplemental Questions. Part A. Part B. Part C
Ch 3 Suppleental Questions [ Edit ] Overview Suary View Diagnostics View Print View with Answers Ch 3 Suppleental Questions Due: 7:00p on Wednesday, Septeber 28, 2016 To understand how points are awarded,
More informationDetailed study 3.4 Topic Test Investigations: Flight
Name: Billanook College Detailed study 3.4 Topic Test Investigations: Flight Ivanhoe Girls Grammar School Questions 1 and 2 relate to the information shown in the diagram in Figure 1. z Question 1 y Figure
More informationTwoDimensional Motion and Vectors
Sample Problem Set II Answers TwoDimensional Motion and Vectors Additional Practice D Holt McDougal Physics 1 Sample Problem Set II Holt McDougal Physics 2 Sample Problem Set II TwoDimensional Motion
More information. In an elevator accelerating upward (A) both the elevator accelerating upward (B) the first is equations are valid
IIT JEE Achiever 2014 Ist Year Physics2: Worksheet1 Date: 20140626 Hydrostatics 1. A liquid can easily change its shape but a solid cannot because (A) the density of a liquid is smaller than that of
More informationPhysics for Scientist and Engineers third edition Kinematics 1D
Kinematics 1D The position of a runner as a function of time is plotted along the x axis of a coordinate system. During a 3.00 s time interval, the runner s position changes from x1=50.0 m to x2= 30.5
More informationFour forces on an airplane
Four forces on an airplane By NASA.gov on 10.12.16 Word Count 824 Level MAX TOP: An airplane pictured on June 30, 2016. Courtesy of Pexels. BOTTOM: Four forces on an airplane. Courtesy of NASA. A force
More informationRocket Activity Foam Rocket
Rocket Activity Foam Rocket Objective Students will learn about rocket stability and trajectory with rubber bandrpowered foam rockets. Description Students will construct rockets made from pipe insulating
More informationThe table below shows how the thinking distance and braking distance vary with speed. Thinking distance in m
Q1.The stopping distance of a car is the sum of the thinking distance and the braking distance. The table below shows how the thinking distance and braking distance vary with speed. Speed in m / s Thinking
More informationVectors. and Projectiles. 21 Vectors and Scalars. Vocabulary. Vector: A quantity with magnitude (size) and direction.
, Vectors and Projectiles 21 Vectors and Scalars Vocabulary Vector: A quantity with magnitude (size) and direction. Some examples of vectors are displacement, velocity acceleration, and force. Vocabulary
More informationGravity: How fast do objects fall? Teacher Version (Grade level: 4 7)
Gravity: How fast do objects fall? Teacher Version (Grade level: 4 7) *** Experiment with Audacity to be sure you know how to do what s needed for the lab*** Kinematics is the study of how things move
More information8.6B SS  differentiate between speed, velocity, and acceleration
8.6B SS  differentiate between speed, velocity, and acceleration What is the difference between speed, acceleration and velocity? How is speed calculated? How do we know if something is moving quickly
More informationLINEAR AND ANGULAR KINEMATICS Readings: McGinnis Chapters 2 and 6 DISTANCE, DISPLACEMENT, SPEED, VELOCITY, AND ACCELERATION:
LINEAR AND ANGULAR KINEMATICS Readings: McGinnis Chapters 2 and 6 1 DISTANCE, DISPLACEMENT, SPEED, VELOCITY, AND ACCELERATION: How far? Describing change in linear or angular position Distance (Scalar
More informationPotential and Kinetic Energy: The Roller Coaster Lab Student Version
Potential and Kinetic Energy: The Roller Coaster Lab Student Version Key Concepts: Energy is the ability of a system or object to perform work. It exists in various forms. Potential Energy is the energy
More informationWhat is the acceleration of a racing car if its velocity is increased uniformly from 44 m/s, south to 66 m/s, south over an 11 second period?
1 What is the acceleration of a racing car if its velocity is increased uniformly from 44 m/s, south to 66 m/s, south over an 11 second period? 7 A car traveling in a straight line has a velocity of +5.0
More informationCASE STUDY FOR USE WITH SECTION B
GCE A level 135/01B PHYSICS ASSESSMENT UNIT PH5 A.M. THURSDAY, 0 June 013 CASE STUDY FOR USE WITH SECTION B Examination copy To be given out at the start of the examination. The prerelease copy must
More informationCHAPTER 3 PROBLEM WORKBOOK
CHAPTER 3 PROBLEM WORKBOOK A FINDING RESULTANT MAGNITUDE AND DIRECTION 1. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that the
More informationBall Toss. Vernier Motion Detector
Experiment 6 When a juggler tosses a ball straight upward, the ball slows down until it reaches the top of its path. The ball then speeds up on its way back down. A graph of its velocity vs. time would
More informationSPEED, VELOCITY, ACCELERATION, & NEWTON STUDY GUIDE  Answer Sheet 1) The acceleration of an object would increase if there was an increase in the
SPEED, VELOCITY, ACCELERATION, & NEWTON STUDY GUIDE  Answer Sheet 1) The acceleration of an object would increase if there was an increase in the A) mass of the object. B) force on the object. C) inertia
More informationIntroduction. Physics E1a Expt 4a: Conservation of Momentum and Fall 2006 The Ballistic Pendulum
Physics E1a Expt 4a: Conservation of Momentum and Fall 2006 The Ballistic Pendulum Introduction Preparation: Before coming to lab, read this lab handout and the suggested reading in Giancoli (through
More informationCHAPTER 8 (SECTIONS 8.1 AND 8.2) WAVE PROPERTIES, SOUND
Name Period CHAPTER 8 (SECTIONS 8.1 AND 8.2) WAVE PROPERTIES, SOUND 1 ACTIVITY LESSON DESCRIPTION SCORE/POINTS 1. NT NOTES PACKET (notes and study questions ) _ /50 NT NOTES PACKET (vocab definitions &
More informationQualitative Analysis of Jumping Standing Long Jump Goals Note: Standing Long Jump
Qualitative Analysis of Jumping Standing Long Jump *Any time a person or object is launched into the air Ex jumping, diving, gymnastics, throwing, or striking Goals: 1. Distance Ex: standing long jump,
More informationLinear Motion Worksheet (p. 1) Honors Physical Science Show KUES on your own paper where necessary. Otherwise answer completely on your own paper.
Linear Motion Worksheet (p. 1) 1. A driver travels the Pennsylvania Turnpike (576 km) in 6.67 hours. What is her average speed in (a) km/h? (b) m/s? (c) mi/h? 86.3 km/h 24.0 m/s 53.5 mi/h 2. Light from
More information4.8 Applications of Polynomials
4.8 Applications of Polynomials The last thing we want to do with polynomials is, of course, apply them to real situations. There are a variety of different applications of polynomials that we can look
More informationFinding the optimal trajectory for your driver
Finding the optimal trajectory for your driver One of the more discussed topics involving Clubfitting is about what launch angle is best for any given golfer. With the increased awareness in golf periodicals
More informationAcceleration: Galileo s Inclined Plane
Teacher s Notes Main Topic Subtopic Learning Level Technology Level Activity Type Motion Acceleration High Low Student Description: Use a water clock to measure a ball s acceleration as it rolls down an
More informationACTIVITY 1: Buoyancy Problems. OBJECTIVE: Practice and Reinforce concepts related to Fluid Pressure, primarily Buoyancy
LESSON PLAN: SNAP, CRACKLE, POP: Submarine Buoyancy, Compression, and Rotational Equilibrium DEVELOPED BY: Bill Sanford, Nansemond Suffolk Academy 2012 NAVAL HISTORICAL FOUNDATION TEACHER FELLOWSHIP ACTIVITY
More information