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A ball is dropped form the top of a 100...

A ball is dropped form the top of a 100 m high tower on a plant. In the last `(1)/(2)` s before hitting the ground , it covers a distance of 19m . Acceleration due ot gravity (in `ms^(-2)`) near the surface on the planet is ______.

Text Solution

Verified by Experts

The correct Answer is:
79

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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