For seconds, a particle’s velocity is given by meters per second. Determine its…

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

Problem

For

0\le t\le 6

seconds, a particle’s velocity is given by

v(t)=4\sin\!\left(\dfrac{\pi t}{6}\right)

meters per second. Determine its displacement, in meters, during this interval.