# 1. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?

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1 Chapter Problems Motion at Constant Speed Class Work. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?. During the first 50 s a truck traveled at constant speed of 5 m/s. Find the distance that it traveled. 3. An elevator ascends at a constant speed of 4 m/s, how much time is required for the elevator in order to travel 0 m upwards? 4. A racing car can complete a 900 m long lap in 5 s. What is the speed of the car? 5. It is known that a shark can travel at a speed of 5 m/s. How far can a shark go in 0 seconds? 6. How long does it take an airplane to fly 500 miles if it maintains a speed of 600 miles per hour? 7. A person can run 80 m in 68 s. At what speed are they running? 8. How far does a runner travel if they maintain a speed of 8.5 m/s for 40 s? Homework (From this point anytime you are assigned homework problems you must complete them on a separate sheet of paper stating the given information, formula used, set up and solution with units. In the set up make sure you eliminate units that cancel.) 9. A sportsman can develop a maximum speed of m/s when he is swimming in a pool. Calculate the time interval that is required to travel a distance of 5 m. 0. A polar bear walks a distance of 60 meters in 60 seconds. What was its speed?. A train travels 0 seconds at a speed of 50 m/s. How far did it go?. How long will it take a runner to travel a distance of 000 m at a speed of m/s? 3. A car travels a distance of 600 km in 4 hours. What was its speed? 4. A sailboat travels a distance of 600 m in 40 seconds. What speed is it going? 5. What distance will a car traveling at a speed of 50 km/hr cover in 0.5 hr? 6. How long will it take a ball to roll 0 meters along the floor at a speed of 0.5 m/s? Page

2 Non-Uniform Motion and Average Speed Class Work 7. A boat travels 40 miles in two hours, speeds up to travel the next 80 miles in three hours then slows down to travel the last 40 miles in three hours. What is the average speed of the boat for the entire trip? 8. A car travels for an hour at a speed of 0 km/hr, the next two hours at a speed of 65 km/hr and the final hour at a speed of 85 km/hr. What is the average speed of the car for the entire trip? 9. A bicyclist travels the first 800 m of a trip with a speed of 0 m/s, the next 500 m with an average speed of 5 m/s and the final 00 m at a speed of 3 m/s. Find the average speed of the bicyclist for this trip. 0. A bicyclist travels the first 700 m of a trip at an average speed of 8 m/s, travels the next 600 m in 90 s and the last 50s at a speed of m/s. Find the average speed of the bicyclist for this trip.. A car travels 00 km in the first two hours, stops for half an hour and then travels 00 km in the next four hours. Find the average speed of the car.. An airplane travels at a speed of 300 km/hr for hours, speeds up to 400 km/hr for the next hour and then travels the final four hours at a speed of 500 km/hr. What is the average speed of the plane for this trip? Homework 3. Imagine you are taking a road trip to Cape May, NJ (the Southern most part of NJ) and you program the directions into your GPS. The GPS system says that it will take you hours to travel. When you leave, it is 8:00 am but by the time you arrive it is 0:45 am. a) What assumptions did the GPS program make about the trip to Cape May? b) What assumptions may have been incorrect? Explain. c) If you did arrive at Cape May at 0:05 am, were the assumptions the GPS system made fair? Explain. Page

3 Position, Displacement and Velocity Class Work 4. An object moves from the position +6 m to the position +47 m in s. What is its total displacement? What is its average velocity? 5. A balloon drifts 40 m toward the west in 45 s; then the wind suddenly changes and the balloon flies 90 m toward the east in the next 5 s. a. What distance did it travel during the first 45 s? b. What distance did it travel during the next 5 s? c. What total distance did it travel? d. What was its average speed during the first 45 s? e. What was its average speed during the next 5 s? f. What was its average speed for the entire trip? Homework 6. An object moves from the position +34 m to the position -5 m in 5 s. What is its total displacement? What is its average velocity? 7. A balloon drifts 30 m toward the east in 0 s; then the wind suddenly changes and the balloon flies 50 m toward the west in the next 5 s. a. What distance did it travel during the first 0 s? b. What distance did it travel during the next 5 s? c. What total distance did it travel? d. What was its average speed during the first 0 s? e. What was its average speed during the next 5 s? f. What was its average speed for the entire trip? g. What was its displacement during the first 0 s? h. What was its displacement during the next 5 s? i. What was its total displacement? Creating Graphs Examples 8. Starting at the position, x0 = 4 m, you travel at a velocity of + m/s for 6s. a. Determine your position at the times of 0s; s; 5s; and 6s. b. Draw the Position versus Time for your travel during this time. c. Draw the Velocity versus Time graph for your trip. 9. Starting at the position, x 0 = -5 m, you travel at a velocity of +5 m/s for 3s. a. Determine your position at the times of 0s; s; s; and 3s. b. Draw the Position versus Time for your travel during this time. c. Draw the Velocity versus Time graph for your trip. 3 Page

4 Class Work 30. Starting at the position, x0 = m, you travel at a velocity of +0 m/s for 5 s. a. Determine your position at the times of 0s; s; 4s; and 5s. b. Draw the Position versus Time for your travel during this time. c. Draw the Velocity versus Time graph for your trip. 3. Starting at the position, x0 = -5 m, you travel at a velocity of -5 m/s for 3 s. a. Determine your position at the times of 0s; s; s; and 3s. b. Draw the Position versus Time for your travel during this time. c. Draw the Velocity versus Time graph for your trip. Homework 3. A student starts walking at 5 ft/s in a corridor A and is 0 ft away from the intersection of corridors A and B. A second student starts at the same time running at 8 ft/s in corridor B and is 3 feet away from the intersection. Graph the motion of the two students on a position versus time graph. Will the two students collide? Show your work and explain your reasoning. 4 Page

5 Analyzing Graphs Class Work 33. The position versus time graph, below, describes the motion of three different cars moving along the x-axis. a. Describe, in words, the velocity of each of the cars. Make sure you discuss each car s speed and direction. b. Calculate the velocity of each of the cars. c. Draw, on one set of axes, the Velocity versus Time graph for each of the three cars. 34. The velocity versus time graph, below, describes the motion of three different cars moving along the x-axis. a. Describe, in words, the velocity of each of the cars. Make sure you discuss each car s speed and direction. b. Calculate the displacement of each car during the first 3 seconds. 5 Page

6 35. The position versus time graph, right, describes the motion of three different cars moving along the x-axis. a. Describe, in words, the velocity of each of the cars. Make sure you discuss each car s speed and direction. b. Calculate the velocity of each of the cars. c. Draw, on one set of axes, the Velocity versus Time graph for each of the three cars. 6 Page

7 ) Qualitative Position vs. time, Velocity vs. time & Acceleration vs. time Graphs (m/s) a (m/s/s) x ) (m/s) a (m/s/s) ) (m/s) a (m/s/s) 7 Page

8 Draw the (quantitative) velocity vs. time graphs for an object whose motion produced the position vs. time graphs shown below at left. Show slope calculations in margin at right and at the bottom of the page. Assume all position axes are scaled in meters, time axes in seconds, and velocity axes in m/s. Finally, create a story to depict the motion in each graph.. 4 v v v Page

9 Fill in the missing information on the graphs. Match the description with the vertical set of graphs. a) An object decreasing speed then increasing speed in the opposite direction. b) An object increasing speed c) An object traveling at a constant velocity Problem: To find and analyze graphs found in a real world situation. Procedure: Find at least two graphs in a newspaper or magazine. Bring the graphs to class with any article or descriptive material associated with the graphs. Summing Up:. What are the two quantities that are related in each of the graphs?. Write a descriptive sentence which explains how the two quantities are related in each case? 3. Calculate the average slope in each graph over the full interval given. Explain the meaning of the slope. 4. Convert the presentation form of one of the graphs... eg bar to line. 5. Determine other data that can be obtained from the graph... eg. meaning of area under graph. 9 Page

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