Which of the following expressions gives the displacement of a particle from time to…

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

Problem

Which of the following expressions gives the displacement of a particle from time

t=a

to time

t=b

if its velocity is

v(t)

? (a)

(b-a)\,v\!\left(\dfrac{a+b}{2}\right)

(b)

\displaystyle \int_a^{b} v(t)\,dt

(c)

v(b)-v(a)

(d)

\displaystyle \int_{0}^{\,b-a} v(t)\,dt