CPM Homework Help : CALC Problem 8-117

A particle is moving along the $y$ -axis with a position function $y(t) =\frac { 1 } { 2 }t^2 + 2t + 1$ . Find all times when the particle is traveling at its average rate between 0 and 8 seconds.

Hint:

You are being asked to find all times that the actual velocity is the same as the average velocity on the interval [ $0, 8$ ]. You are given the position function. How will you find the actual velocity function? How will you find the average velocity on [ $0,8$ ]?

Steps:

AROC $=$ IROC somewhere
Solve for $c$ .