The figure shows three graphs, A, B, and C, which collectively describe the motion of an object in one dimension. The horizontal axis of each graph is time (symbol t). The vertical axes of the graphs are different. For one graph the vertical axis is position (symbol x), for another it is velocity (symbol v), and for another it is acceleration (symbol a). Where the axes cross is the point of zero for both time and the quantity corresponding to the vertical axis. Part A: For which sequence of graphs is the vertical coordinate position, velocity, and acceleration, respectively? (e.g., If you think graph Y is position versus time, graph X is velocity versus time, and graph Z is acceleration versus time, then your answer is Y, X, Z.). Multiple choice: 1)C, A, B 2)A, C, B 3)C, B, A 4)B, C, A 5)B, A, C 6)A, B, C. Part (b) Which one of the following situations can be most accurately represented by the graphs, consistent with your answer to part (a)? (1) A car driving in the negative x direction suddenly shifts into reverse and, with tires spinning, slows to a momentary stop before beginning to move in the positive x direction. (2) A car driving in the positive x direction slams on its brakes and comes to rest. (3) A rock is dropped from rest from the top of a tall building. Assume air drag can be neglected, in which case its speed increases by the same amount each second. Take upward to be the positive x direction. (4) A sprinter runs a 100-meter dash and she runs in the negative x direction. Starting from rest, she has a constant acceleration for the first 50 meters, then a constant speed for the remaining 50. Multiple choice: 1)4, 2)3, 3)2, 4)1.
The figure shows three graphs, A, B, and C, which collectively describe the motion of an object in one dimension. The horizontal axis of each graph is time (symbol t). The vertical axes of the graphs are different. For one graph the vertical axis is position (symbol x), for another it is velocity (symbol v), and for another it is acceleration (symbol a). Where the axes cross is the point of zero for both time and the quantity corresponding to the vertical axis. Part A: For which sequence of graphs is the vertical coordinate position, velocity, and acceleration, respectively? (e.g., If you think graph Y is position versus time, graph X is velocity versus time, and graph Z is acceleration versus time, then your answer is Y, X, Z.). Multiple choice: 1)C, A, B 2)A, C, B 3)C, B, A 4)B, C, A 5)B, A, C 6)A, B, C. Part (b) Which one of the following situations can be most accurately represented by the graphs, consistent with your answer to part (a)? (1) A car driving in the negative x direction suddenly shifts into reverse and, with tires spinning, slows to a momentary stop before beginning to move in the positive x direction. (2) A car driving in the positive x direction slams on its brakes and comes to rest. (3) A rock is dropped from rest from the top of a tall building. Assume air drag can be neglected, in which case its speed increases by the same amount each second. Take upward to be the positive x direction. (4) A sprinter runs a 100-meter dash and she runs in the negative x direction. Starting from rest, she has a constant acceleration for the first 50 meters, then a constant speed for the remaining 50. Multiple choice: 1)4, 2)3, 3)2, 4)1.
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