# What is the average speed, on #t in [0,5]#, of an object that is moving at #5 m/s# at #t=0# and accelerates at a rate of #a(t) =t^2-2t# on #t in [0,4]#?

##### 1 Answer

Nov 16, 2017

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