# III. The position-time graph shows the motion of a delivery truck on a long, straight street.

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1 Physics I preap Name per MOTION GRAPHS For this assignment, you will need to use the Moving Man simulation from the phet website. As you work through these problems focus on making sense of the motion graphs and discuss your reasoning with your peers! What is the graph really telling you about the motion? Graphs are used in science and many other areas (!) to record and convey a whole lot of information. They provide a compact way to tell the whole history of an object's motion. I. First, orient yourself to the Moving Man tool by selecting the tab option Introduction. Select the accelerate motion from the choose motion list. Move the man to a starting position of -8 m, set him to accelerate at 1 m/s 2 from an initial velocity of 0. Observe the motion. Also notice that the tool comes equipped with a playback feature and a double-bar cursor that you may move with the mouse to probe position, velocity, and acceleration along the graph. What is his velocity when he crosses the origin (the position of 0 meters)? II. Below is a graph of a balls motion. Use the Moving Man Applet to reproduce the shape of this graph. Which of the following sentences gives the best interpretation of the ball s motion? A) The ball moves along a flat surface. Then it moves forward down a hill, and then finally stops. B) The ball doesn't move at first. Then it moves forward down a hill and finally stops. C) The ball is moving at constant velocity. Then it slows down and stops. D) The ball doesn't move at first. Then it moves backwards and then finally stops. E) The ball moves along a flat area, moves backwards down a hill, and then it keeps moving. III. The position-time graph shows the motion of a delivery truck on a long, straight street. Position vs. Time Position (m) 400 E B C D 100 A Time (seconds) a What is the truck's position at each of the following times? a) 10 s b) 15 s c) 30 s d) 45 s b. Calculate the truck's velocity in each of the lettered intervals? 1

2 c. What is the displacement for the following time intervals? a) 0 to 20 s b) 0 to 30 s c) 0 to 50 s d. What is the distance traveled during the following intervals? a) 0 to 20 s b) 0 to 30 s c) 0 to 50 s IV. In class, we looked at how human motions could be represented on position versus time and velocity versus time graphs by using a motion detector to collect data. Use Moving Man to simulate the following scenario: A man starts at the origin, walks towards the tree slowly and steadily for 6 seconds, then stands still for 6 seconds, and then turns around and walks towards the house steadily about twice as fast for 6 seconds. a) Which of the following position versus time graphs also conveys this motion? b) Which of the following velocity versus time graphs conveys this type of motion: 2

3 V) The moving man applet allows you to set him into Walk mode and control the velocity at which the man walks. Play around with this control until you gain an intuition as to how the motion of the moving man relates to the velocity setting. Circle the correct choice for each statement. True False If the velocity is negative, the man is walking towards the tree under all conditions. True False If the velocity is positive, the man s position is always greater than zero. True False If the velocity is negative, the acceleration is negative. True False A negative velocity means the man is slowing down. True False If the velocity is zero, the moving man is at the origin. VI) Two cars (A and B) are moving along the same stretch of road. The figure below shows a position versus time graph for the motions of the cars. a) Which of the following pictures best represents a snapshot of the road way at t=0 sec. b) At time = 2sec, i) Car A is _ Car B ahead of behind along side ii) The speed of Car A is _ Car B faster than slower than equal to c) At t=6sec, i) Car A is Car B ahead of behind along side ii) The speed of Car A is Car B faster than slower than equal to 3

4 d) Which of the following statements best describes the situation depicted in the position versus time graph? Car A speeds up and passes Car B, which is traveling at a constant speed. Car B slows down and is passed by Car A, which is traveling at a constant speed. Car A, traveling at a constant speed, approaches and passes Car B, which is also traveling at a constant speed. Car A speeds up, Car B slows down, and Car A passes Car B. e) Calculate the velocity of Car B at t=2 seconds? VII) The motion of a walking man is recorded on the position vs time graph below. Use the Moving Man Applet in the Walk mode to reproduce this position vs time graph by adjusting the velocity slider as the man is walking. At which of the lettered points on the graph: (Circle all that apply) a) is the man s motion slowest A B C D E F b) is the man speeding up? A B C D E F c) is the man slowing down A B C D E F d) is the man turning around? A B C D E F VIII. For each of the graphs shown below, draw a) a velocity-time graph b) an acceleration-time graph 4

5 v (m/s) t (s) XII. The graph above shows the motion of an object during a 25 second interval. 1. What is the acceleration at t = 3 s? 2. What is the acceleration at t = 7.5 s? 3. What is the acceleration at t = 12 s? 4. What is the acceleration at t = 20 s? 5. What is the acceleration at t = 24 s? 6. What is the average velocity during the first 5 sec? 7. What is the average velocity from 5 to 10 sec? 8. What is the average velocity during the last 2.5 sec? 9. What distance is traveled in the first 15 sec? 10. What distance is traveled in the last 10 sec? 11. What is the total displacement of the object? Questions: 1. What does the slope of a position-time graph indicate? 2. What quantity is represented by the area under a velocity-time curve? 3. What does the slope of a velocity-time graph indicate? 4. If a velocity-time curve is a straight line parallel to the "time" axis, what can be said about the acceleration? 5. What quantity is represented by the area under an acceleration-time curve? 5

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