Home > APCALC > Chapter 8 > Lesson 8.3.2 > Problem8-118

8-118.

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

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

$\frac{y(8)-y(0)}{8-0}=v(c)$

Solve for c.