Project 2 Evaluation 32 Second Year Algebra 1 (MTHH )


 Clarissa Ball
 10 months ago
 Views:
Transcription
1 Name I.D. Number Project 2 Evaluation 32 Second Year Algebra 1 (MTHH ) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your teacher for grading. Don t forget to put your name and I.D. number at the top of this page! This project will count for 8% of your overall grade for this course and contains a possible 100 points total. Be sure to read all the instructions and assemble all the necessary materials before you begin. You will need to print this document and complete it on paper. Feel free to attach extra pages if you need them. When you have completed this project you may submit it electronically through the online course management system by scanning the pages into either.pdf (Portable Document Format), or.doc (Microsoft Word document) format. If you scan your project as images, embed them in a Word document in.gif image format. Using.gif images that are smaller than 8 x 10 inches, or 600 x 800 pixels, will help ensure that the project is small enough to upload. Remember that a file that is larger than 5,000 K will NOT go through the online system. Make sure your pages are legible before you upload them. Check the instructions in the online course for more information. Part A Building a Business (possible 13 points) Activity: You are the owner of a small chocolate factory that produces two popular chocolate bars, Mr. Yummy Bar and Choc O Lot. Your mission is to find out how many of each type of chocolate bar you should produce each day to maximize your company s profit. You are successful because of two secret ingredients, Flavor A and Flavor B. To protect your profitable business, the table on the right shows production rate and requirement of the flavors. One machine wraps both candy bars. It can wrap 50,000 chocolate bars per day. Your profit on each Mr. Yummy Bar is 14, and your profit on each Choc O Lot is a. Write inequalities to describe each objective and constraint. (7 pts) Project MTHH 039
2 b. Graph the inequalities you wrote in part (a). (3 pts) c. Find the quantity of each chocolate bar you should manufacture to maximize your daily profit. Calculate the profit you will earn. (3 pts) Part B Modeling Using Parabolas (possible 27 points) Activity: The study of quadratic equations and their graphs plays an important role in many applications. For example, businesses can model revenue and profit functions with quadratic functions. Physicists can model the height, h, of rockets over time t with quadratic equations. In this activity you will use the given information about the height of a football that is punted and expressed as a quadratic equation. The height of a punted football can be modeled with the quadratic functions h = 0.01x x + 2. The horizontal distance in feet from the point of impact with the kicker s foot is x, and h is the height of the football in feet. Must show work for full credit. 1. a. Find the vertex of the graph of the function by completing the square. (3 pts) Project MTHH 039
3 b. What is the maximum height of the punt? (3 pts) c. The nearest defensive player is 5 ft horizontally from the point of impact. How high must the player reach to block the punt? (3 pts) d. Suppose the ball was not blocked but continued on its path. How far down field would the ball travel before it hits the ground? (3 pts) e. The linear equation h = 1.18x + 2 could model the path of the football shown in the graph. Why is this not a good model? Hint think back to Lesson 9 Polynomial Function comparing models. (3 pts) f. What is the height of the football when it has traveled 20 yd. downfield? (3 pts) g. How far downfield has the ball traveled when it reaches its maximum height? (3 pts) h. How far downfield has the ball traveled when it reaches a height of 6 ft? (3 pts) i. Explain why part (h) has more than one answer. (3 pts) Project MTHH 039
4 Part C Quadratic Inequalities (possible 25 points) Activity 1: To find which of x 2 12 or 3x + 6 is greater, enter the two functions as Y 1 and Y 2 in your graphing calculator. Use the TABLE option to compare the two functions for various values of x. For TblStart set to 10, Tbl set to 5, and make sure Indpnt and Depend the AUTO option is highlighted. 1. For which value of x in the table is x 2 12 > 3x + 6? (2 pts) 2. For which value of x in the table is x 2 12 < 3x + 6? (2 pts) 3. Does this table tell you all values of x for which x 2 12 < 3x + 6? Explain. (3 pts) 4. In TBLSET menu, change TblStart to 9, Tbl set to 3. Display the table again. Does the table with this setup give more information? Why? (2 pts) 5. You can compare functions more efficiently by making one side of the inequality 0. Show that x 2 12 < 3x + 6 is equivalent to x 2 3x 18 < 0. (3 pts) 6. Enter x 2 3x 18 as Y 3 in your graphing calculator. Place the cursor on the = sign after Y 1 and press ENTER. This operation turns off the display for Y 1. Do the same for Y 2, and then display the table. Look at the table, for which values of x is x 2 3x 18 < 0? (2 pts) Project MTHH 039
5 Activity 2: For a visual model, look at the same inequalities graphically. Turn off Y 3 and turn on Y 1 and Y 2. Begin by graphing the two functions in the original inequality. Make sure your Window is set to Xmin = 10, Xmax = 10, Xscl = 1, Ymin = 20, Ymax = 30, Yscl = 5, and Xres = Which graph represents the function f(x) = x 2 12? Which graph represents f(x) = 3x + 6? How can you tell the two graphs apart? (3 pts) 8. Use your calculator to find the values of x for which x 2 12 < 3x + 6 in this new viewing window parameters. (2 pts) 9. Do you think there are values of x outside this window for which x 2 12 < 3x + 6? Explain. (2 pts) 10. Now turn off Y 1 and Y 2 and turn on Y 3. Use your calculator and graph Y 3 to find the values of x for which x 2 3x 18 < 0 in this new viewing window parameters. Are these the same values of x you found in Question 8? (2 pts) 11. Compare the strategy in Question 8 with the strategy in Question 10 for solving the inequality x 2 12 < 3x + 6 graphically. Is one easier than the other? Explain? (2 pts) Project MTHH 039
6 Part D Pascal s Triangle (possible 15 points) Activity: Imagine you are standing at the corner of the grid at point A1. You are only allowed to travel down or to the right only. The only way to get to point A2 is by traveling down 1 unit. You can get to point B1 by traveling to the right 1 unit. The number of ways you can get to points A2, B1, and B2 are written next to these points. 1. The number 2 is written next to point B2. What are two different ways you can get from point A1 to point B2? (2 pts) 2. In how many ways can you get from point A1 to point A3? (2 pts) 3. In how many ways can you get from point A1 to point C2? (2 pts) 4. In how many ways can you get to the fountain at point E6 from your starting at point A1? (2 pts) 5. Mark the number of ways you can get to each point from A1. (2 pts) Project MTHH 039
7 6. Describe any patterns you see in the numbers on the grid. (2 pts) 7. The completed grid is called Pascal s Triangle. Rotate your grid 45 clockwise so that point A1 is at the top. Explain why the grid is called a triangle. (3 pts) Part E As the Ball Flies (possible 20 points) Activity 1: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (θ). A skilled high school soccer player can kick a soccer ball at speeds up to 50 to 60 mi/h, while a veteran professional soccer player can kick the soccer ball up to 80 mi/h. Vectors The vectors identified in the triangle describe the initial velocity of the soccer ball as the combination of a vertical and horizontal velocity. Gravity The constant g represents the acceleration of any object due to Earth s gravitational pull. The value of g near Earth s surface is about 32 ft/s 2. v x = v k cos θ & v y = v k sin θ 1. Use the information above to calculate the horizontal and vertical velocities of a ball kicked at a 35 angle with an initial velocity of 60 mi/h. Convert the velocities to ft/s. (2 pts) Project MTHH 039
8 2. The equations x(t) = v x t and y(t) = v y t gt 2 describe the x and y coordinate of a soccer ball function of time. Use the second to calculate the time the ball will take to complete its parabolic path. (4 pts) 3. Use the first equation given in Question 2 to calculate how far the ball will travel horizontally from its original position. (2 pts) Activity 2: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (θ). A skilled high school soccer player can kick a soccer ball at speeds up to 50 to 60 mi/h, while a veteran professional soccer player can kick the soccer ball up to 80 mi/h. 1. Use the technique developed in Activity 1 to calculate horizontal distance of the kick for angle in 15 increments from 15 to 90? Make a spreadsheet for your calculations. Use the initial velocity of 60 mi/h. (8 pts) 2. Graph the horizontal distance of the kick as a function of the angle of the kick. Which angle gives the greatest distance? (4 pts) This project can be submitted electronically. Check the Project page under My Work in the UNHS online course management system or your enrollment information with your print materials for more detailed instructions. Project MTHH 039
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 informationParametric Ball Toss TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TINspire Navigator System
Math Objectives Students will be able to use parametric equations to represent the height of a ball as a function of time as well as the path of a ball that has been thrown straight up. Students will be
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 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 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 information1. A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach?
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
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 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 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 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 informationActivity P07: Acceleration of a Cart (Acceleration Sensor, Motion Sensor)
Activity P07: Acceleration of a Cart (Acceleration Sensor, Motion Sensor) Equipment Needed Qty Equipment Needed Qty Acceleration Sensor (CI6558) 1 Dynamics Cart (inc. w/ Track) 1 Motion Sensor (CI6742)
More informationApplications of trigonometry
Applications of trigonometry This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
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 informationPiecewise Functions. Updated: 05/15/10
Connecting Algebra 1 to Advanced Placement* Mathematics A Resource and Strategy Guide Updated: 05/15/ Objectives: Students will review linear functions and their properties and be introduced to piecewise
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 informationSquash Questions PLAY AND PAUSE. Open the video file Service lob. 1) Play the video at all the different speeds.
Squash is a fast game requiring high levels of agility combined with strategy. Players vary the power and direction of their shot in order to move their opponent around the court. Their objective is to
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 informationA Pyramid of Crunchkins
Pictured below you will see Nestle Crunchkins stacked in a triangular pyramid. Each layer is in the shape of an equilateral triangle, and the top layer is a single Nestle Crunchkin. How many Nestle Crunchkins
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 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 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 informationAlgebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 1. Pythagorean Theorem; Task 3.1.2
Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic. Pythagorean Theorem; Task 3.. TASK 3..: 3060 RIGHT TRIANGLES Solutions. Shown here is a 3060 right triangle that has one leg of length and
More informationLesson 14: Modeling Relationships with a Line
Exploratory Activity: Line of Best Fit Revisited 1. Use the link http://illuminations.nctm.org/activity.aspx?id=4186 to explore how the line of best fit changes depending on your data set. A. Enter any
More information3. Answer the following questions with your group. How high do you think he was at the top of the stairs? How did you estimate that elevation?
J Hart Interactive Algebra 1 Classwork Exploratory Challenge 1. Watch the first 1:08 minutes of the video below and describe in words the motion of the man. Elevation vs. Time #2 [http://www.mrmeyer.com/graphingstories1/graphingstories2.mov.
More informationNote! In this lab when you measure, round all measurements to the nearest meter!
Distance and Displacement Lab Note! In this lab when you measure, round all measurements to the nearest meter! 1. Place a piece of tape where you will begin your walk outside. This tape marks the origin.
More informationSTAAR Practice Test #1. 2 (2B) What is the equation in standard form of the line that
STAAR Practice Test #1 TEKS 2 (Linear Equations) 1. (2B) The population of Webb County, Texas, from the year 2000 through 2010 is shown in the graph. If the trend shown in the graph continues, what will
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 informationKinematics & Dynamics
Kinematics & Dynamics Thomas Funkhouser Princeton University C0S 46, Fall 000 Overview Kinematics Considers only motion Determined by positions, velocities, accelerations Dynamics Considers underlying
More information13.7 Quadratic Equations and Problem Solving
13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum,
More information3. Answer the following questions with your group. How high do you think he was at the top of the stairs? How did you estimate that elevation?
Classwork Exploratory Challenge 1. Watch the first 1:08 minutes of the video below and describe in words the motion of the man. Elevation vs. Time #2 [http://www.mrmeyer.com/graphingstories1/graphingstories2.mov.
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 informationMiniGolf Course Description. 1. You must draw your design on a piece of graph paper so that it will cover all four quadrants.
Algebra 1 Mrs. Blake B256 MiniGolf Course Description Guidelines for your creation: 1. You must draw your design on a piece of graph paper so that it will cover all four quadrants. 2. On the graph paper
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 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 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 informationDiving Questions PLAY AND PAUSE. Open the video file 10m Tuck
High board divers must control their spin, twist and timing in order to achieve high scores in competition. Use the video files below to complete the following questions to help you gain a better understanding
More informationPhysics 11 Honours Lesson 3 Distance and Displacement
Name: Block: Physics 11 Honours Lesson 3 Distance and Displacement In physics, every measured quantity is either a or a. Scalars: For example: Vectors: For example: Note: Vectors are either written in
More informationGabe represents his mystery number with the variable f.
Mystery Numbers Home Link 7 Gabe and Aurelia play Number Squeeze. Gabe represents his mystery number with the variable f.  a. Represent each of the two Number Squeeze clues with an inequality. Describe
More informationCatapult Project. Even though we will be wearing safety glasses, the catapult must not have any sharp edges that could injure yourself or others.
Catapult Project Objective. Design and build a catapult capable of launching a large metal projectile ( a nut about the size of 5 nickels) more than 12 ft and up to 32 feet away in order to accurately
More informationBelow are the graphing equivalents of the above constraints.
Detailed Step by Step description of the Wilson Problem Part A. LP Formulation Step 1. Figure out the problem Although it may seem obvious, the first step in solving the Wilson Problem is to understand
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 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 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 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 informationActivity Sheet 1 What determines the amount of friction between two surfaces?
Student Name: Activity Sheet 1 What determines the amount of friction between two surfaces? I. Forces Try pushing a block around on a table. What direction do you have to push in to make it move? If you
More informationMath 10 Lesson 33 Interpreting and Sketching Graphs
number of cards Math 10 Lesson 33 Interpreting and Sketching Graphs I. Lesson Objectives: 1) Graphs communicate how two things are related to one another. Straight, sloped lines indicate a constant change
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 information81. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
81 he Pythagorean heorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number Square Positive Square Root 9 81 3 1 4 1 16 1 2 Vocabulary Builder leg
More informationEnergy Drilling Prospects
01 05 Energy Drilling Prospects Fraser Offshore Ltd is a drilling project management company. It designs, plans and drills oil wells for clients who are typically oil & gas companies or large utilities
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 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 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 informationDeriving the Law of Cosines
Name lass Date 14. Law of osines Essential Question: How can you use the Law of osines to find measures of any triangle? Resource Locker Explore Deriving the Law of osines You learned to solve triangle
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 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 informationReadiness: Scuba Diving
Readiness: Scuba Diving AUTHOR INTENT Scuba diving is a realworld activity where each diver has to be responsible for their own safety. The safety of the divers relies on mathematics. The math reviewed
More informationCore practical 14: Investigate the relationship between the pressure and volume of a gas at fixed temperature
Core practical 14 Teacher sheet pressure To measure the volume of a gas at constant temperature but varying pressure Specification links Students should carry out this work with due attention to safety
More informationExperiment P18: Buoyant Force (Force Sensor)
PASCO scientific Physics Lab Manual: P181 Experiment P18: (Force Sensor) Concept Time SW Interface Macintosh file Windows file Newton's Laws 45 m 300/500/700 P18 P18_BUOY.SWS EQUIPMENT NEEDED CONSUMABLES
More informationPHY 221: Wavefunction, Wave Superposition, Standing Waves on a String
PHY 221: Wavefunction, Wave Superposition, Standing Waves on a String Objective Write a mathematical function to describe the wave. Describe a transverse wave and a longitudinal wave. Describe frequency,
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 information2018 Chapter Competition Countdown Round Problems 1 80
2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company
More informationA 28inch ribbon was cut into four equal lengths. How long was each piece of ribbon?
Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students
More informationApplying Hooke s Law to Multiple Bungee Cords. Introduction
Applying Hooke s Law to Multiple Bungee Cords Introduction Hooke s Law declares that the force exerted on a spring is proportional to the amount of stretch or compression on the spring, is always directed
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 informationTeam Manager's Manual
Introduction: Team Managers Duties: Overview Team Manager's Manual Team Manager's Tasks Get your ScoreBook ID and Password from your League Administrator. Enter Your "Team Administration" Page Setting
More informationAtmospheric Forces and Force Balances METR Introduction
Atmospheric Forces and Force Balances METR 2021 Introduction In this lab you will be introduced to the forces governing atmospheric motions as well as some of the common force balances. A common theme
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 informationUsing a double entry table "Temperature graph"
Aims "Temperature graph" Practising using a double entry table to draw graphs. 1621 Level 2 Exercise 1 Applications Materials In class: introduction to decimal numbers and fractions, advanced reading
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 informationPacific Charter Institute Pacing Guide Grade(s): _5 Subject Area: _Math in Focus grade 5 CP: yes _X no
Week 1 Prerequisite skills review Chapter 1 pretest Assessment 5 chapter pretest pp. 14 or MIF Student book 5A pp. 14 Reteach 4A (1.1, 1.2, 2.1, 3.2, 3.4) NWEA Kids start Wed. Week 2 1.1 Writing numbers
More informationComments on Homework. Class 4  Pressure. Atmospheric Pressure. Gauge vs. Absolute Pressure. 2. Gauge vs. Absolute Pressure. 1.
Class 4  Pressure 1. Definitions 2. Gauge Pressure 3. Pressure and Height of Liquid Column (Head) 4. Pressure Measurement and Manometers Please don t forget the special problem for the next HW assignment
More informationBoxandWhisker Plots
Name: Date: Page 1 of 7 BoxandWhisker Plots A boxandwhisker plot is a convenient way to display the fivenumber summary. To draw a boxandwhisker plot: a. Mark the minimum, maximum, median, Q 1, and
More informationThe Pythagorean Theorem Diamond in the Rough
The Pythagorean Theorem SUGGESTED LEARNING STRATEGIES: Shared Reading, Activating Prior Knowledge, Visualization, Interactive Word Wall Cameron is a catcher trying out for the school baseball team. He
More informationDiscussion Session 3 2D Relative Motion Week 04
PHYS 100 Discussion Session 3 2D Relative Motion Week 04 The Plan This week is about two main ideas, practicing vector addition and understanding relative motion. You ll accomplish both by looking at two
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 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 informationFigure 1: Graphical definitions of superelevation in terms for a two lane roadway.
Iowa Department of Transportation Office of Design Superelevation 2A2 Design Manual Chapter 2 Alignments Originally Issued: 123197 Revised: 121010 Superelevation is the banking of the roadway along
More informationPhysics 117A Exam #1 Fall 2006
Physics 117A Exam #1 Fall 2006 Only calculators and pens/pencils are allowed on your desk. No cell phones or additional scrap paper. You have 1.5 hours to complete the exam. Name Section (Circle): Hutson
More informationA Study of Olympic Winning Times
Connecting Algebra 1 to Advanced Placement* Mathematics A Resource and Strategy Guide Updated: 05/15/ A Study of Olympic Winning Times Objective: Students will graph data, determine a line that models
More informationSection 2 What Is a Force?
Section 2 What Is a Force? Key Concept Forces acting on an object can be combined and may cause changes in motion. What You Will Learn A force is a push or a pull that acts on an object. Forces have magnitude
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 informationBézier Curves and Splines
CSC3100 Computer Graphics Bézier Curves and Splines Majority of slides from Frédo Durand vectorportal.com CSC3100 Fall 2016 Lehtinen Before We Begin Anything on your mind concerning Assignment 1? Linux
More informationDrexelSDP GK12 ACTIVITY
DrexelSDP GK12 ACTIVITY Subject Area(s): Astronomy, Gravity, Friction, Momentum Associated Unit: None Lesson Title: Cars, Gravity, Momentum and Friction Header: Microsoft Word drawn image of a car consisting
More informationINTERACTION OF STEP LENGTH AND STEP RATE DURING SPRINT RUNNING
INTERACTION OF STEP LENGTH AND STEP RATE DURING SPRINT RUNNING Joseph P. Hunter 1, Robert N. Marshall 1,, and Peter J. McNair 3 1 Department of Sport and Exercise Science, The University of Auckland, Auckland,
More informationForces that govern a baseball s flight path
Forces that govern a baseball s flight path Andrew W. Nowicki Physics Department, The College of Wooster, Wooster, Ohio 44691 April 21, 1999 The three major forces that affect the baseball while in flight
More informationYear 10 Mathematics, 2007
Student s Name: Teacher s Name: 10 Year 10 athematics, 2007 lgebra Use straightforward algebraic methods and sketch and interpret features of linear graphs Time: 20 minutes. Check that you have entered
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 informationPatternBlock Fish. Pat and Sam were having fun building fish with pattern blocks. 1 fish had 2 fins. 2 fish had 4 fins. 3 fish had 6 fins.
Pat and Sam were having fun building fish with pattern blocks. 1 fish had 2 fins. 2 fish had 4 fins. 3 fish had 6 fins. If this pattern continued... How many fins did 7 fish have? 1 of 13 How many fins
More informationOCalc Pro Sag Tension Calculations Explained
OCalc Pro Sag Tension Calculations Explained This document is a primer that explains how OCalc Pro software system handles the tension and sags on cables that are attached to a pole. The document is
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 informationName Date PD. Pythagorean Theorem
Name Date PD Pythagorean Theorem Vocabulary: Hypotenuse the side across from the right angle, it will be the longest side Legs are the sides adjacent to the right angle His theorem states: a b c In any
More informationAnalysis of Movement
Orlando 2009 Biomechanics II: Analysis of Movement An overview and advanced discussion of the effects of movement, with a focus on the technology available to analyze skills and support sciencebased instruction.
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 informationPerformance Task # 1
Performance Task # 1 Goal: Arrange integers in order. Role: You are a analyzing a Julie Brown Anderson s dive. Audience: Reader of article. Situation: You are interviewing for a job at a sports magazine.
More informationMotion Control of a Bipedal Walking Robot
Motion Control of a Bipedal Walking Robot Lai Wei Ying, Tang Howe Hing, Mohamed bin Hussein Faculty of Mechanical Engineering Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia. Wylai2@live.my
More information15/02/2013. Sports Biomechanics for Cricket Coaches. Context Overall Aim OVERVIEW. AIMS / Learning Outcomes
Sports Biomechanics for Cricket Coaches Level 4: Sports Biomechanics English & Wales Cricket Board Context Overall Aim The course structure and content will reflect the applied application of Sport Biomechanics,
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 informationMarch Madness Basketball Tournament
March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: Print out all the worksheets. Introduce
More informationEvaluation copy. Vapor Pressure of Liquids. computer OBJECTIVES MATERIALS
Vapor Pressure of Liquids Computer 10 In this experiment, you will investigate the relationship between the vapor pressure of a liquid and its temperature. When a liquid is added to the Erlenmeyer flask
More informationMath 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls
Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and
More information