Suppose that the velocity function of a particle moving along a coordinate line is `v(t)=9t^3+4` Find the average velocity of the particle over the time interval `1lt=tlt=4`  by integrating.

Expert Answers
embizze eNotes educator| Certified Educator

The average value of a function over an interval [a,b] is `1/(b-a)int_a^b f(x)dx`

Here the interval is [1,4] and the function `v(t)=9t^3+4`

The average value is :


`=1/3[9/4t^4+4t|_1^4 ]`