A balloon is at a height of 81 m and is a

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A balloon is at a height of $81\, m$ and is ascending upwards with a velocity of $12 \,m/s$. A body of $2\,kg$ weight is dropped from it. If $g = 10\,m/{s^2}$, the body will reach the surface of the earth in.........$s$

A

$1.5$

B

$4.025$

C

$5.4$

D

$6.75$

A balloon is at a height of $81\, m$ and is ascending upwards with a velocity of $12 \,m/s$. A body of $2\,kg$ weight is dropped from it. If $g = 10\,m/{s^2}$, the body will reach the surface of the earth in.........$s$

$h = ut + \frac{1}{2}g{t^2}$

$ \Rightarrow 81 = - 12t + \frac{1}{2} \times 10 \times {t^2} \Rightarrow t = 5.4\,sec$