A particle moves on a horizontal axis with velocity meters per second for .

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

Problem

A particle moves on a horizontal axis with velocity

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

meters per second for

0\le t\le5

. (a) Find all values of

t

in the interval

0\le t\le5

at which the particle changes direction. Justify your answer. (b) Compute the particle’s displacement, in meters, on the interval

0\le t\le5

. (c) Compute the total distance, in meters, traveled by the particle on the interval

0\le t\le5

. (d) Compare your answers from parts (b) and (c) and interpret their meanings in the context of the particle’s motion.