The velocity (in meters per second) of a moving object is modeled by for

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

Problem

The velocity (in meters per second) of a moving object is modeled by

v(t)=2t

for

0\le t\le4

, where

t

is measured in seconds. Determine the object’s displacement during this 4-second interval. (a)

32\text{ meters}

(b)

8\text{ meters}

(c)

16\text{ meters}

(d)

64\text{ meters}