Question:medium

A ball is allowed to fall freely from a height of 42 m from the ground. If the coefficient of restitution between the ball and the ground is 0.4, then the total distance travelled by the ball before it comes to rest is

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For a bouncing ball problem, memorize the formulas for total distance travelled and total time taken. Total distance: \( D = h_0 \left(\frac{1+e^2}{1-e^2}\right) \). Total time: \( T = \sqrt{\frac{2h_0}{g}} \left(\frac{1+e}{1-e}\right) \). These formulas save a lot of time by directly using the geometric series sum.

Updated On: Mar 30, 2026

84 m
87 m
72 m
58 m

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The Correct Option is D

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