Use calculus to construct a polynomial that gives the acceleration of the car as a function of time.
This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By Night Industries conduct an experiment with a sports car on a test track. While one is driving the car, the other will look at the speedometer and record the speed of the car at one-second intervals. Now, these aren’t official researchers and this isn’t an official test track, so the speeds are in miles per hour using an analog speedometer. The data set they create is:
1, 5, 2, z, 3, 30, 4, 50, 5, 65, (6, 70)
z = 29