The velocity (in m/s) of a body is given by for

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

Problem

The velocity (in m/s) of a body is given by

v(t)=ke^{-0.2t}+3

for

0\le t\le 10

, where

k

is a constant. Which expression equals the body's displacement (in meters) on this interval? (a)

5k\left(1-e^{-2}\right)

(b)

5k\left(e^{2}-1\right)+30

(c)

5k\left(1-e^{-2}\right)+30

(d)

5k\left(e^{-2}-1\right)+30