The displacement of a particle moving along a line is given by s(t)=t^3-6t^2+9t in metres

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

Problem

The displacement of a particle moving along a line is given by

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

in metres, where

t

is the time in seconds (

0 \le t \le 5

). At what time does the particle attain its minimum velocity in this interval? (a)

4\,\text{s}

(b)

2\,\text{s}

(c)

1\,\text{s}

(d)

3\,\text{s}