For seconds, the velocity of a particle is meters per second. The particle travels a…

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

Problem

For

0\le t\le 5

seconds, the velocity of a particle is

v(t)=a(2-t)

meters per second. The particle travels a total distance of

30

meters over this interval. What is the value of

a

? (a)

\dfrac{30}{13}

(b)

12

(c)

\dfrac{60}{13}

(d)

6