The position of a particle is given by for

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The position of a particle is given by

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

for

0\le t\le 5

. Which of the following lists all intervals on which the particle’s speed is decreasing? (a)

(1,2)\cup(3,5)

(b)

(0,2)

(c)

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

(d)

(0,1)