A particle has speed meters per second for seconds

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

Problem

A particle has speed

v(t)=2+t

meters per second for

0\le t\le 4

seconds. Its kinetic energy at time

t

\dfrac12 v(t)^{2}

joules. Calculate the particle’s average kinetic energy over this interval.