# What is the average speed of an object that is not moving at #t=0# and accelerates at a rate of #a(t) =6t-9# on #t in [3, 5]#?

##### 1 Answer

Jan 3, 2016

#### Answer:

Take the differential definition of acceleration, derive a formula connecting speed and time, find the two speeds and estimate the average.

#### Explanation:

The definition of acceleration:

So the speed at

The average speed for