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A stone is dr...

Question

A stone is dropped from a rising balloon at a height of $300$ m above the ground and it reaches the ground in $10$ s. The velocity of the balloon when it was dropped is:

19

m/s

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10

m/s

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29

m/s

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0

m/s

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Solution

The correct option is A $19$ m/s
Given,
Height, $h = 300 m$
Time, $t = 10 s$

We have, $h = u t - \frac{1}{2} g t^{2}$

So, the second equation of motion may be written as:

$- 300 = u (10) - \frac{1}{2} g (10)^{2}$

$- 300 = - 10 u - \frac{1}{2} \times 9.8 (100)$

$u = 19 m / s$

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