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A balloon carring a stone is moving vart...

A balloon carring a stone is moving vartically upward with velocity `12 m//s`. When the balloon is at height `64 m`, the stone is dropped. After how much time and with what velocity will it strike the ground?

A

`4 sec.`

B

`5 sec.`

C

`6 sec.`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
velocity of ball `w.r.t.` ground `=20-10=10m//sec` upwards.
`x=ut+(1)/(2)at^(2)`
`120=-10t+(1)/(2)xx10t^(2)`
`24=-2t+t^(2)`
`t^(2)-2t-24=0`
`t=6sec`.
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