...Moving at a constant velocity? k meters per second, she passes a refreshment station. At that instant (t=0 seconds), her support car starts from the refreshment station to accelerate after her, beginning from a dead stop. Suppose Shelby's position from the refreshment station in t seconds is given by the expression kt and the position of the support car is given by the function 1/3(10t^2-t^3), where distance is measured in meters. This latter function is carefully calculated by her crew so that at the instant the car catches up to the racer, they will match speeds. A crew member will hand Shelby a cold drink and the car will immediately fall behind.
How long does it take the support car to catch Shelby?
How fast is Shelby traveling?
How long does it take the support car to catch Shelby?
How fast is Shelby traveling?