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