A particle moves along a straight line so that its velocity at time seconds is meters…

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

Problem

A particle moves along a straight line so that its velocity at time

t

seconds is

v(t)=t^{2}-3t

meters per second for

0\le t\le 5

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

\dfrac{25}{6}

(b)

\dfrac{79}{12}

(c)

\dfrac{79}{6}

(d)

\dfrac{26}{3}