A particle moves along x-axis obeying the equation x= t(t-1)(t-2), where x (in meters) is the position of the particle at any time t (in seconds).

Question

A particle moves along $x$-axis obeying the equation $x=t(t-1)(t-2)$, where $x$ (in metres) is the position of the particle at any time $t$ (in seconds). The displacement when the velocity of the particle is zero, is

(a) $-\frac{2}{3 \sqrt{3}} m, \frac{2}{3 \sqrt{3}} m$

(b) $-\frac{5}{3 \sqrt{3}} m, \frac{5}{3 \sqrt{3}} m$

(c) $-3 m , 3 m$

(d) $-5 m , 5 m$

Answer 1

The displacement when the velocity of the particle is zero, will be $-\frac{2}{3 \sqrt{3}} m, \frac{2}{3 \sqrt{3}} m$. So, The correct option of this question is (A).