Originally Posted by **tnkfub**

This problem is kinda big and just cant seem to start it off :/.

A new motion detector is used to graph the position of a sports car. If the themotion detector is not callibrated properly, it might give unrealistic graph data. The position of the car is described by the function S= 2t^3-21t^2 + 60, tE [0,6], where s is measured in meters and t in seconds. it is known the largest acceleration is 12 m/s ^2.

a) WHat is its initial velocity?

b)When is the car at rest?

c)When is the car at rest?

d)draw a diagram

e)Find the total distance traveled by the car in the first 6 seconds

f)Find the max acceleration of the car?