The velocity of a particle is given by meters per second for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity of a particle is given by

v(t)=t^{3}-4t

meters per second for

-3\le t\le 3

. What is the total distance, in meters, that the particle travels on this interval? (a)

12.5

(b)

0

(c)

20.5

(d)

16.5