### Home > CALC > Chapter 8 > Lesson 8.3.2 > Problem8-117

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.

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 [$0,8$]?

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