Latest self Aptitude Question SOLUTION: A ball dropped from a height of 24m rebounds two-third of the distance it falls. How much distance will it travel before coming to rest? A. 240M B. 60M C.120M D.Can not determine

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(#M40018576) SELF question Keep an EYE

A ball dropped from a height of 24m rebounds two-third of the distance it falls. How much distance will it travel before coming to rest? A. 240M B. 60M C.120M D.Can not determine

Asish mishra (10 years ago)

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Vinay Sipani   (10 years ago)

120 m

Distance travelled before 1st bounce = 24m = 2*24 - 24 m
Before 2nd bounce = 2*(2/3)*24 m
Before 3rd bounce = 2*(2/3)^2*24 m

Ball comes to rest at infinity
=> Total distace travelled = 2*(24 + (2/3)24 + (2/3)^2*24 + ...) - 24
= 2*24/(1-(2/3)) - 24
= 144 - 24
= 120 m

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