The mass of the car was 900 kg, speed on a one-way road with only one lane with no curbs to a stop was 60 km / h as soon as the driver saw the pedestrian 50 m from the car in the direction of traffic. The friction force is proportional to the speed with the coefficient, the braking force 20000 Newton. Find a movement process of the "stopping" car in time (solve differential equation describing motion). Is it possible to stop a car without hurting a pedestrian? How far will the car go to stop?

1)Build a mathematical model that describes the process y(t) of braking the car. 2) Get a general and partial solutions. Find and explain the meaning of the result lim y(t)

t 3) Build a numerical model with the step h = 0.1 and solve the

numerical equation and get Y (i) 4) Comparise the values of an exact solution and a numerical solution