Assignment:
Question. A car brakes in an emergency, the moment the brakes are first applied is t=0. the car’s distance, s, from the point at which the brakes were first applied is given by:
S = -0.1t3 + 20t + 0.1
(i) differentiate s to find formulae for the velocity and acceleration.
(ii) find the time at which the car comes to a stop.
(iii) How far does the car travels before it comes to a stop.
(iv) What does the mathematical model say will happen to the car after it comes to a stop? What will actually happen? Why are the two different?