The velocity of a particle is for

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

Problem

The velocity of a particle is

v(t)=6t-t^{2}\text{ m/s}

for

t\ge 0

. Find the value of

b

with

0<b<6

such that the particle’s average velocity on the interval

0\le t\le b

equals

3\text{ m/s}