The velocity of a particle for seconds is meters per second

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity of a particle for

0\le t\le 4

seconds is

v(t)=k t^{2}-2

meters per second. If the average velocity over this interval is

3

meters per second, what is the value of

k

? (a)

\dfrac{5}{16}

(b)

\dfrac{15}{16}

(c)

\dfrac{5}{8}

(d)

\dfrac{5}{4}