A bicyclist’s velocity (in meters per second) for seconds is modeled by v(t)=2 ! ( t 4 )

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

Problem

A bicyclist’s velocity (in meters per second) for

0\le t\le8

seconds is modeled by

v(t)=2\sin\!\left(\frac{\pi t}{4}\right).

Calculate the total distance the bicyclist travels, in meters, during this interval.