On the interval seconds a particle’s velocity satisfies ( _ 0 ^ 5 v(t) ,dt = -2 ft )…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

On the interval

0\le t\le 5

seconds a particle’s velocity satisfies

\displaystyle \int_{0}^{5} v(t)\,dt = -2\text{ ft}

while

\displaystyle \int_{0}^{5} |v(t)|\,dt = 10\text{ ft}

. Explain what these two values reveal about the particle’s motion during this time period.