1. Tardigrade
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  3. Physics
  4. A man in a balloon throws a stone downwards with a speed of 5 m s- 1 with respect to the balloon which is moving upwards with a constant acceleration of 5 m s- 2 . Find the velocity (in m s- 1 ) of the stone relative to the man after 2 s . (Take <!-- MathType@Translator@5@5@MathML2 (namespace attr).tdl@MathML 2.0 (namespace attr)@ --> g=10 m s- 2 )

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Q. A man in a balloon throws a stone downwards with a speed of $5 \, m \, s^{- 1}$ with respect to the balloon which is moving upwards with a constant acceleration of $5 \, m \, s^{- 2}$ . Find the velocity (in $m \, s^{- 1}$ ) of the stone relative to the man after $2 \, s$ . (Take $g=10 \, m \, s^{- 2}$ )

NTA AbhyasNTA Abhyas 2020Motion in a Straight Line

Solution:

Relative velocity of stone = $5 \, m \, s^{- 1}$
relative acceleration of stone = $10 \, + \, 5 \, = \, 15 \, m \, s^{- 2}$
$v \, = \, u \, + \, at \, = \, 5 \, + \, 15 \, \times \, 2 \, = \, 35 \, m \, s^{- 1}$
relative velocity after $t \, = \, 2 \, s$ is $35 \, m \, s^{- 1} \, ​$