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-1)(t-3)

meters per second for

0\le t\le 4

. Let

D

be the total distance traveled and

\Delta x

the displacement on this interval. What is the value of

D-\Delta x

? (a)

0\text{ m}

(b)

\dfrac{4}{3}\text{ m}

(c)

\dfrac{8}{3}\text{ m}

(d)

\dfrac{16}{3}\text{ m}