In a test of a prototype car, the driver starts the car from rest at t = 0, accelerates, and then applies the brakes. Engineers measuring the position of the car find that from t = 0 to t = 18 s the position is approximated by
s = (5 t<>2> + (1/3) t<>3> - (1/50) t<>4>) ft
- What is the maximum velocity, and at what time does it occur?
- What is the maximum acceleration, and at what time does it occur?