A particle moves on a line away...

Question

A particle moves on a line away from its initial position so that after t hours it is s=4t^2+t miles from its initial position. Find the average velocity of the particle over the interval [1,4]. Include units in your answer.

Answer 1

The average velocity is the slope of the straight line connecting the endpoints of the interval: (1,s(1)) and (4,(s(4)). Use the slope formula:

slope (m)= (y₂-y₁)/(x₂-x₁)

where (x₁, y₁) = (1, s(1)) and (x₂, y₂) = (4, s(4)).