A particle moves on a line with velocity meters per second

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A particle moves on a line with velocity

v(t)=(t-2)^{2}(t+1)

meters per second. At which of the following times is the particle at rest but does NOT change direction? (a) Both

t=-1\text{ s}

and

t=2\text{ s}

(b)

t=-1\text{ s}

(c)

t=2\text{ s}

(d) Neither

t=-1\text{ s}

nor

t=2\text{ s}