A balloon was moving upwards with a uniform velocity of 10 m s - 1 . An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the ballo

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A balloon was moving upwards with a uniform velocity of 10 m s - 1 . An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around: (takes the value of g as 10 m s - 2 )

TestHub · Accepted Answer

Object is projected as shown so as per motion under gravity,

$S = u t + \frac{1}{2} a t^{2}$

$- 75 = + 10 t + \frac{1}{2} (- 10) t^{2} \Rightarrow t = 5 s$

Object takes $t = 5 s$ to fall on ground height of balloon from ground,

$H = 75 + ut$

$= 75 + 10 \times 5 = 125 m$

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