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Derivation of Velocity-Time Relation by Graphical Method

A car travell...

Question

A car travelling at $2 m s^{- 1}$ undergoes an acceleration of $1 m s^{- 2}$ . How long will it take to double its velocity?

1 s

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2 s

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3 s

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4 s

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Solution

The correct option is B $2 s$
$u = 2 m s^{- 1}$
$a = 1 m s^{- 2}$
$v = 2 u = 4 m s^{- 1}$
$∴ t = \frac{v - u}{a} = \frac{4 - 2}{1} s = 2 s$

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