A particle moves along the -axis with velocity meters per second for seconds.
MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
A particle moves along the x-axis with velocity v(t)=t2−4t+3 meters per second for 0≤t≤5 seconds.
(a) Determine all values of t in [0,5] at which the particle changes direction. Justify your answer.
(b) Find the particle’s displacement on [0,5].
(c) Find the total distance the particle travels on [0,5].
(d) Compute the average speed of the particle on [0,5], and compare it to the average velocity on the same interval. Provide an interpretation in the context of the motion.