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  4. The displacement of a particle undergoing rectilinear motion along the x axis is given by x=(2 t3-21 t2+60 t+6) The acceleration of the particle when its velocity is zero for the first time is

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Q. The displacement of a particle undergoing rectilinear motion along the $x$ axis is given by $x=\left(2 t^{3}-21 t^{2}+60 t+6\right)$ The acceleration of the particle when its velocity is zero for the first time is

Solution:

$v=\frac{d x}{d t}=6 t^{2}-42 t+60, a=\frac{d v}{d t}=12 t-42$