Five possible graphs of velocity vs time are shown below. Use these graphs for t

Question

Five possible graphs of velocity vs time are shown below. Use these graphs for the following three parts. To earn full credit, briefly explain your answer in each part. a) Which of the graphs could possibly correspond to an object in free fall? Assume that downward is in the negative direction. b) For which graphs(s) of v versus t does the particle end up farthest from its starting point? (Assume all of the graphs have the same scale) c) For the acceleration vs. time graphs below, what is (which are) the corresponding velocity vs. time graph shown above?

Explanation / Answer

Acceleration(a) is slope of the V vs t graph.

Displacement (S) is area under V vs t graph.

Part a)a particle under free fall will have a negetive acceleration (-g) and velocity will be increasing but in negetive direction, (as mentioned downward direction is negative) only graph iv) 4th matches our requirements.

Part b) as mentioned above, S is area under V vs t graph.i) first graph has maximum area under it ,so particle will be farthest from original postion .

Answer - i)

Part c)only iii) 3rd matches our requirements of positive slope on V vs t graph . Only 3rd has a constant rising velocity.

Answer - iii)

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