JEE Main Physics question

Physics Motion in a Straight Line JEE Main

Consider a rubber ball freely falling from a height m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time will be

(A)A periodic sawtooth: velocity decreases linearly and continuously (constant slope ) from to over each interval of length ( s), jumping instantaneously back to at each bounce — constant period and amplitude throughoutCorrect
(B)The same sawtooth shape, but with decreasing amplitude and period on successive bounces
(C)A symmetric triangular wave entirely above the time axis
(D)A smooth sinusoidal oscillation

Answer: (A)

Solution

Time to fall m: s, reaching speed ms downward. Since the collision is perfectly elastic and instantaneous, the ball rebounds with the same speed upward, decelerates under gravity back to rest at exactly the original height after another 1

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Question ID VK-152004