Mathematics

Problem

An object is at position

s(2)=7

meters and moves thereafter with continuous velocity

v(t)

meters per second for

t\ge 2

. Which of the following expressions gives the object’s position

s(t)

for

t\ge 2

? a)

7+\displaystyle \int_{2}^{t} |v(x)|\,dx

7+\displaystyle \int_{2}^{t} v(x)\,dx

\displaystyle \int_{2}^{t} v(x)\,dx

7+\displaystyle \int_{0}^{t} v(x)\,dx