If the distance ‘s’ metres traversed by a particle in $t$ seconds is given by $s = t^{3} - 3t^{2}$, then the velocity of the particle when the acceleration is zero, in metre/second is

Question

Dr. Abubacker · Accepted Answer

(c)
Given , $s = t^{3} - 3t^{2}$
$\Rightarrow \ \frac{ds}{dt} = 3t^{2} - 6t$ …(i)
$\Rightarrow \ \frac{d^{2}}{dt^{2}} = 6t - 6 = 0$ [given]
$\Rightarrow \ \ t = 1$
On putting value of $t = 1\ in\ Eq.(i),we\ get$
$\frac{ds}{dt} = 3 	imes 1 - 6 	imes 1 = - 3m/s$

Q. If the distance ‘s’ metres traversed by a particle in $t$ seconds is given by $s = t^{3} - 3t^{2}$, then the velocity of the particle when the acceleration is zero, in metre/second is

Explanation

Reviewed by Dr. Abubacker

Want more practice?