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Question

A ball is dropped from a height of 20m. If the coefficient of restitution is 0.9, what will be the height attained after the first bounce?


A

1.62m

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B

16.2m

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C

18m

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D

14m

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Solution

The correct option is B

16.2m


Step 1: Definition of coefficient of restitution.

  1. It is defined as the ratio of the final to initial velocity between two objects after their collision.
  2. It is generally denoted by ‘e’ and its range lies between 0 to 1.

Given data: Let height of the ball before collision, h=20m

Coefficient of restitution, e=0.9

Step 2: Calculating the height of a ball after the first bounce.

Hence, height of a ball after collision, h'is given by:

h'=(e)2×hh'=(0.9)2×20h'=16.2m

Hence, option(B) is the correct answer.


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