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

##### 1 Answer

Apr 15, 2017

The average speed is

#### Explanation:

The velocity is the integral of the acceleration

Plugging in the initial conditions

So,

The average speed is