# What is the average speed, on #t in [0,5]#, of an object that is moving at #1 m/s# at #t=0# and accelerates at a rate of #a(t) =2t^2-1# on #t in [0,3]#?

##### 1 Answer

Jan 16, 2018

The average speed is

#### Explanation:

The speed is the integral of the acceleration

Then,

Plugging in the initial conditions at

Therefore,

After that

The average speed on the interval

The average speed is