A particle starts at the origin at with velocity at which the particle returns to the…

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

Problem

A particle starts at the origin at

t=0

with velocity

v(t)=\begin{cases} 4-t & 0\le t\le 4 \\ -2 & 4<t\le 8 \end{cases}

(meters per second). Determine the first time

t>0

at which the particle returns to the origin.