The displacement of a particle, starting from rest (at t=0 ) is given by s=6 t2-t3 The time in seconds at which the particle will attain zero velocity again is

Question

The displacement of a particle, starting from rest (at t=0 ) is given by s=6 t2-t3 The time in seconds at which the particle will attain zero velocity again is (A) 2 (B) 4 (C) 6 (D) 8

Tardigrade Admin · Accepted Answer

Given s=6 t2-t3 Velocity v=(d s/d t)=12 t-3 t2 If velocity is zero, then 0 =12 t-3 t2 ⇒ t =4 s

Q. The displacement of a particle, starting from rest (at $t = 0$ ) is given by
$s = 6 t^{2} - t^{3}$
The time in seconds at which the particle will attain zero velocity again is

2

4

6

8

Given $s = 6 t^{2} - t^{3}$
Velocity $v = \frac{d s}{d t} = 12 t - 3 t^{2}$
If velocity is zero, then
$0 = 12 t - 3 t^{2}$
$\Rightarrow t = 4 s$

Q. The displacement of a particle, starting from rest (at t=0 ) is given by s=6t2−t3 The time in seconds at which the particle will attain zero velocity again is

2

4

6

8

Given s=6t2−t3 Velocity v=dtds​=12t−3t2 If velocity is zero, then 0=12t−3t2 ⇒t=4s

Q. The displacement of a particle, starting from rest (at $t = 0$ ) is given by
$s = 6 t^{2} - t^{3}$
The time in seconds at which the particle will attain zero velocity again is

Given $s = 6 t^{2} - t^{3}$
Velocity $v = \frac{d s}{d t} = 12 t - 3 t^{2}$
If velocity is zero, then
$0 = 12 t - 3 t^{2}$
$\Rightarrow t = 4 s$