An object moves with velocity meters per second

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

Problem

An object moves with velocity

v(t)=5\cos t

meters per second. If its position is

s\!\left(\tfrac{\pi}{3}\right)=2

meters, what is

s(\pi)

? (a)

7-\dfrac{5\sqrt{3}}{2}

(b)

2+\dfrac{5\sqrt{3}}{2}

(c)

2-\dfrac{5\sqrt{3}}{2}

(d)

-\dfrac{11}{2}