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Question: Answered & Verified by Expert
A balloon is rising vertically up with a velocity of $29 \mathrm{~ms}^{-1}$. A stone is dropped from it and it reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it, was $\left(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\right)$
PhysicsMotion In One DimensionBITSATBITSAT 2021
Options:
  • A $100 \mathrm{~m}$
  • B $200 \mathrm{~m}$
  • C $400 \mathrm{~m}$
  • D $150 \mathrm{~m}$
Solution:
1794 Upvotes Verified Answer
The correct answer is: $200 \mathrm{~m}$
For stone to be dropped from rising balloon of velocity $29 \mathrm{~m} / \mathrm{s}, \mathrm{u}=-29 \mathrm{~m} / \mathrm{s}, \mathrm{t}=10 \mathrm{sec} .$

$\begin{array}{l}

\therefore \mathrm{h}=-29 \times 10+\frac{1}{2} \times 9.8 \times 100 \\

=-290+490=200 \mathrm{~m} .

\end{array}$

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