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Standard XII

Physics

Relative Velocity

A man in a ba...

Question

A man in a balloon, throws a stone downwards with a speed of $5 m/s$ with respect to the balloon. The balloon is moving upwards with a constant acceleration of $5 {m/s}^{2} .$ Then velocity of the stone relative to the man after $2 seconds$ is:

10 m/s

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30 m/s

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15 m/s

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35 m/s

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Solution

The correct option is D $35 m/s$
In a frame relative to balloon,
${\to u}_{S B} = 5 m/sec (-^j)$
${\to a}_{S B} = 15 {m/sec}^{2} (-^j)$
$\to v = \to u + \to a t$
$\to v = - 5 - 15 \times 2 (^j) = - 35 m/sec (^j)$
$| \to v | = 35 m/s$

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A man in a balloon, throws a stone downwards with a speed of 5 m/s with respect to the balloon. The balloon is moving upwards with a constant acceleration of 5 m/s2. Then velocity of the stone relative to the man after 2 seconds is:

The correct option is D 35 m/sIn a frame relative to balloon, →uSB=5 m/sec(−^j) →aSB=15 m/sec2(−^j) →v=→u+→at →v=−5−15×2(^j)=−35 m/sec(^j) |→v|=35 m/s

A man in a balloon, throws a stone downwards with a speed of $5 m/s$ with respect to the balloon. The balloon is moving upwards with a constant acceleration of $5 {m/s}^{2} .$ Then velocity of the stone relative to the man after $2 seconds$ is:

The correct option is D $35 m/s$
In a frame relative to balloon,
${\to u}_{S B} = 5 m/sec (-^j)$
${\to a}_{S B} = 15 {m/sec}^{2} (-^j)$
$\to v = \to u + \to a t$
$\to v = - 5 - 15 \times 2 (^j) = - 35 m/sec (^j)$
$| \to v | = 35 m/s$