# What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 2t^2-2t+2# from #t in [0,2]#?

##### 2 Answers

The average speed is

#### Explanation:

The speed is the integral of the acceleration

Plugging in the initial conditions

The average speed on the interval

Given the acceleration of the object at t th instant as

Given that object is still at

Hence

So

Hence

So displacement in the time interval

Hence average velocity