The position of a particle is meters for

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

Problem

The position of a particle is

s(t)=t^{3}-6t^{2}+9t

meters for

t\ge 0

. On which of the following intervals is the particle’s speed decreasing? (a)

(1,2)\cup(3,\infty)

(b)

(0,2)

(c)

(0,1)\cup(2,3)

(d)

(1,2)\cup(2,3)