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A ball is dropped from the top of a 200 ...

A ball is dropped from the top of a 200 m high tower on a planet. In the last `1/2` s before hitting the ground, it covers a distance of 79 m. Acceleration due to gravity (in ms–2) near the surface on that planet is ______.

A

79

B

34

C

179

D

89

Text Solution

Verified by Experts

The correct Answer is:
A
Time to travel 121 m is t sec
Time to travel 200 m is t `+1/2` sec.
`121 = 1/2 xx a xx t^2 implies t=11 sqrt(2/a)`
`200 = 1/2 xx a xx (t+1/2)^2 implies t+1/2 = sqrt((400)/(a))`
`a=79 m//s^2`
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