A rate of change function is given by for

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

Problem

A rate of change function is given by

r(t)=(t-2)(6-t)

for

0\le t\le6

, where

t

is measured in seconds and

r(t)

in meters per second. What is the total distance (ignoring direction) traveled by the object during this time interval? (a)

0

meters (b)

\dfrac{128}{3}

meters (c)

\dfrac{64}{3}

meters (d)

\dfrac{32}{3}

meters