Let represent the velocity (in m/s) of a particle for

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

Problem

Let

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

represent the velocity (in m/s) of a particle for

0<t<4

. On which intervals in this domain is the particle’s speed increasing? (a)

(1,3)

(b)

(1,3)\cup(3,4)

(c)

(0,1)\cup(3,4)

(d)

(0,1)