Question

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A stone dropped from rising balloon at a height of 300 metre above the ground and it reaches the ground in 10 seconds . find the velocity of the balloon at the instant , when the stone was dropped.

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Answer 1

$\bf{\underline{\red{QUESTION:-}}}$

A stone dropped from rising balloon at a height of 300 metre above the ground and it reaches the ground in 10 seconds . find the velocity of the balloon at the instant , when the stone was dropped.

$\bf{\underline{\red{ANSWER:-}}}$

Let,

• The initial velocity of balloon in upward direction be u

So,

• The initial velocity of stone in upward direction is also u that is ᵘ1 = - u
• Acceleration due to gravity of the stone a = g = 9.8 m/s²
• Time taken (t) = 10 sec

$\bf{\underline{\red{FORMULA:-}}}$

$\bf ★ \large S = ut + \frac{1}{2}× at^2$

$\sf → S = u_1 t + \frac{1}{2}×9.8 × 10^2$

( taking downward direction to be positive )

$\sf → 300 = -u (10) +\frac{1}{2}×9.8×10^2$

$\sf → 300 = -10u + \frac{1}{2}× 980$

$\sf → 300 = - 10u + 490$

$\sf → 10u = 490 - 300$

$\sf → 10u = 190$

$\sf → u = \frac{190}{10}$

$\bf → u = 19 m/sec$

$\bf{\underline{\red{HENCE:-}}}$

• the velocity of the balloon at the instant , when the stone was dropped is 19m /sec

Answer 2

Answer:

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