The distance function s(t) (in meters) of a car traveling in a straight line after t seconds is given by s(t) = 2t^2 + 5t for times 0 ≤ t ≤ 50.
a. what is the distance traveled from t = 0 to t = 40 seconds?
b. what is the average velocity of the car between t = 0 and t = 40 seconds?
c. what is the velocity of the car at t = 40 seconds?