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Instantaneous Velocity

A car moves a...

Question

A car moves along a straight line whose equation of motion is given by $s = 12 t + 3 t^{2} - 2 t^{3}$ , where $s$ is in meters and $t$ in seconds. The velocity of car at start will be

7 m / s

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9 m / s

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12 m / s

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16 m / s

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Solution

The correct option is B $12 m / s$
Given: $s = 12 t + 3 t^{2} - 2 t^{3}$
$\to v = \frac{d s}{d t} {| \begin{matrix} _{t = 0} = 12 + 6 t - 6 t^{2} \end{matrix} |}_{t = 0} = 12 m / s$

Suggest Corrections

Similar questions

S = 12 t + 3 t^{2} + 2 t^{3}

S

t

s = 2 t^{3} - 9 t^{2} + 12 t

s = 18 t + 3 t^{2} - 2 t^{3}

s

t

s = t^{3} - 3 t^{2} - 9 t

t = 0

16 m s^{- 1}

0.5 t m s^{- 2}

t

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