A particle’s velocity is given by meters per second for

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

Problem

A particle’s velocity is given by

v(t)=3t^{2}-12t+9

meters per second for

0\le t\le 4

. Determine the total distance, in meters, the particle travels during this time interval. (a)

8

(b)

12

(c)

4

(d)

14