A particle moves along the -axis with velocity meters per second for seconds

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

Problem

A particle moves along the

x

-axis with velocity

v(t)=\sin t

meters per second for

0\le t\le \pi

seconds. What is the total distance, in meters, traveled by the particle on this interval? (a)

0

(b)

\dfrac{\pi}{2}

(c)

2

(d)

\pi