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Question

A stone is dropped from a certain height which can reach the ground in 5 s. If the stone is stopped after 3 s of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is

A
2 s
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B
3 s
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C
4 s
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D
8 s
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Solution

The correct option is B 4 s
Let h be the height, t=5 s
h=12gt2=12(9.8)(25)=122.5 m
Distance covered in 3 sec=12(9.8)(3)2
=44.1 m
Remaining distance =122.544.1=78.4 m
If t s is the required time, then
78.4=0+12gt2
t2=78449=16
t=4s.

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