A body starts from origin and moves along x -axis so that its position at any instant is x=4 t^2-12

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2.Motion in Straight Line

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A body starts from origin and moves along $x$-axis so that its position at any instant is $x=4 t^2-12 t$ where $t$ is in second and $v$ in m/s. What is the acceleration of particle is ............. $m / s ^2$

A$4$

B$8$

C$24$

D$0$

Solution

(b)
$x=4 t^2-12 t$
$v=\frac{d x}{d t}=8 t-12$
$a=\frac{d^2 x}{d t^2}=8$
$\Rightarrow a=8 \,ms ^{-2}$

Standard 11

Physics

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