Answer:

Average velocity is 32 miles/hr.

Step-by-step explanation:

Given that a particle moves on a line away from its initial position so that after t hours it is  s=6t^2+2t miles from its initial position.

We have to find the average velocity of the particle over the interval [1, 4].

As, average velocity is the change is position over the change in time.

s(4)=6(4)^2+2(4)=104

s(1)=6(1)^2+2(1)=8

text{Average Velocity=}frac{s(4)-s(1)}{4-1}

                            =frac{104-8}{3}=frac{96}{3}=32miles/hr

Hence, average velocity is 32 miles/hr.