When a Ball Bounces, it Rises to 3/4 of the Height from which it Fell. If the Ball is Dropped from a Height of 32m, How High will it Rise at the Third Bounce?

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• Explanation

• Solution

Explanation

• When a ball bounces, it rises to 3/4 of the height from which it fell.

• The ball is dropped from a height of 32m.

In this question; we need to find out the 3/4 of the given value i.e. 32.

• First time when it falls it goes (3 x 32)/4 = 24m high.

• Second time it will go (3 x 24)/4 = 18m high.

• In third bounce it will go (3 x 18)/4 = 13.5m high.

To Find

Height of ball at the third bounce = ?

Solution

Given height = 32m

First bounce = ¾ x 32 = 24m

Second bounce = ¾ x 24 = 18m

Third bounce = ¾ x 18 = 13.5m answer

Conclusion

When a ball bounces, it rises to 3/4 of the height from which it fell. If the ball is dropped from a height of 32m, it will rise13.5m at the third bounce.