A train emerges from a tunnel while moving with a speed of on a straight track
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A train emerges from a tunnel while moving with a speed of 20m/s on a straight track. Immediately on exit, the driver applies the brakes so that the train experiences a uniform retardation of 1.0m/s2 for 15s. The brakes are then released and the train continues at the new constant speed for 40s before it is accelerated uniformly at 0.50m/s2 for 10s.
Answer the following.
(i) Find the speed of the train at the end of each of the three stages.
(ii) Compute the distance travelled in each stage.
(iii) Calculate the total distance covered during the entire 65s interval.
(iv) Draw a properly scaled velocity–time diagram for the complete motion and show on the graph how the distance in part (iii) can be interpreted geometrically.