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

Question

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 (A) 36 m / s 2 (B) 9 m / s 2 (C) -9 m s-2 (D) -18 m / s 2

Tardigrade Admin · Accepted Answer

v=(d x/d t)=6 t2-42 t+60, a=(d v/d t)=12 t-42

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

$36 m / s^{2}$

$9 m / s^{2}$

$- 9 m s^{- 2}$

$- 18 m / s^{2}$

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

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

36m/s2

9m/s2

−9ms−2

−18m/s2