A man of mass 80 kg is standing stationary in the middle of a train carriage. The train is moving horizontally with a constant speed of 20 m/s, and length of the carriage is L = 20 m long. Suddenly, the train starts to accelerate uniformly with a = 2 m/s2 horizontally. If the coefficient of friction between the man’s shoes and the ‘floor’ of the train is µ = 0.1, what is the maximum time that the man takes to hit the back of the train carriage? For simplicity, you can assume that the coefficient of static friction is the same as the coefficient of kinetic friction. Assume that there are no obstacles between the man and the back of the train.
