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A stone is thrown from the top of a towe...

A stone is thrown from the top of a tower at an angle of ` 30^(@)` above the horizontal level with a velocity of 40 m/s. it strikes the ground after 5 second from the time of projection then the height of the tower is

A

6s 64 m

B

6s, 48 m

C

4 s, 32 m

D

4 s, 16 m

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `u = 8 ms^(-1), h = 80 m`
The time taken by the stone to reach the ground-
`t = sqrt((2h)/g)`
`= sqrt((2 xx 80 m)/10) ms^(-2) = 4s`
Distance, `d = u xx t = 8 ms^(-1) xx 4s = 32 m`
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