For seconds, the velocity (in feet per second) of an object moving horizontally is .…

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

0\le t\le5

seconds, the velocity (in feet per second) of an object moving horizontally is

v(t)=t^{2}-4t+3

. The object’s position at

t=0

s(0)=2

feet. (a) Calculate the object’s net displacement for

0\le t\le5

. (b) Determine the object’s position at

t=5

seconds. (c) Calculate the total distance the object travels on

0\le t\le5

. (d) Compare the signs of your answers in parts (a) and (c) and interpret their physical meanings in the context of the motion.