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Derivation of Velocity-Time Relation by Graphical Method

An object is ...

Question

An object is released from a balloon rising up with a constant speed of $2 m s^{- 1}$ . Its magnitude of velocity after $1 s$ in $m s^{- 1}$ is

5.3

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7.8

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2.8

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6.4

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Solution

The correct option is A 7.8
The ball initially will have the same velocity as that of the balloon
Using the equations of motion , taking velocity to be positive upwards and negative downwards
$v = u + a t$
$v = 2 - g (1)$
$v = 7.8 m / s$

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