A train starts from rest at a station and accelerates uniformly at 0.6 m s until it…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A train starts from rest at a station and accelerates uniformly at 0.6 m s−2 until it attains a speed of 54 km h−1. It then continues at this speed for 5.0 min. Finally, the brakes are applied and the train is brought to rest with a uniform retardation of 1.2 m s−2.
(i) Find the time taken by the train to reach the speed of 54 km h−1.
(ii) Calculate the distance travelled during the acceleration phase.
(iii) Determine the time required to bring the train to rest once the brakes are applied.
(iv) Compute the total distance covered from the instant the train starts until it comes to rest.