A particle moves along a straight line with continuous velocity

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

Problem

v(t)

. If its position at time

t=0

3

, which of the following expressions gives its position

s(T)

for any

T>0

? (a)

3+\int_{0}^{T} |v(t)|\,dt

(b)

3+\int_{0}^{T} v(t)\,dt

(c)

\displaystyle \int_{0}^{T} v(t)\,dt

(d)

3+T\,v(T)