An object is at position meters and moves thereafter with continuous velocity meters…

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

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

(b)

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

(c)

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

(d)

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