Figure a is a diagram of a multiflash image of an air puck moving to the right o

Question

Figure a is a diagram of a multiflash image of an air puck moving to the right on a horizontal surface. The images sketched are separated by equal time intervals, and the first and last images show the puck at rest. (a) In Figure b, which color graph best shows the puck's position as a function of time? (b) In Figure c, which color graph best shows the puck's velocity as a function of time? (c) In Figure d, which color graph best shows the puck's acceleration as a function of time? These equations are used in situations with uniform (constant) acceleration 1. Delta x = 1/2 (v_i + v_f) t 2. v_f = v_i + at

Explanation / Answer

a) In fig.b) the blue or middle graph shows the puck's position as a function of time as at both the ends of the graph the position of the air puck increases only slowly as indicated by the graph a) while the intermediate portion shows the position steadily increasing.

b) In fig c) the red graph shows the puck's velocity as a function of time t as the velocity depicted by the graph increases from 0 to a steady value, remains constant there for some time and then decreases suddenly to zero again which is what is observed from the position vs. time graph in a).

c)In fig d) the green graph shows the puck's acceleration as a function of timet as by analysis of the graph b) it is seen that the acceleration is constant until the velocity reaches a constant value and then rapidly zero again when the velocity decreases to a minimum.

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