A particle moves along a line with velocity meters per second for

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

Problem

A particle moves along a line with velocity

v(t)=t^{3}-6t^{2}+9t-4

meters per second for

0\le t\le 4

. Which ordered pair gives the net displacement and the total distance traveled, respectively, on this interval? (a)

(8,\,8)

(b)

(-4,\,8)

(c)

(-8,\,8)

(d)

(-8,\,12)