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Q.

a balloon is rising vertically up with a velocity of $29 m s^{- 1}$ . A stone dropped from it and it reaches the ground in $10 s$ . The height of the balloon when the stone was dropped from it is $(g = 9.8 m s^{- 2})$

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a

$100 m$

b

$200 m$

c

$150 m$

d

$400 m$

answer is D.

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Detailed Solution

Taking vertical downward motion of the stone released from the balloon going up, we have $u = - 29 m / s; a = 9.8 m / s^{2}, t = 10$ and $s = ?$ Now $s = u t + \frac{1}{2} a t^{2}$

$= - 29 \times 10 + \frac{1}{2} \times 9.8 \times 10^{2}$ $= - 290 + 490 = 200 m$

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a balloon is rising vertically up with a velocity of 29ms−1 . A stone dropped from it and it reaches the ground in 10s . The height of the balloon when the stone was dropped from it is (g=9.8ms−2)