A train travelling at 200 km/hr has to brake due to an obstruction on the track 1 km ahead. The maximum braking deceleration that can be applied is 0.2g. The train will be able to stop before hitting the obstruction.

Question

Quizplus · Accepted Answer

The train's stopping distance can be calculated using the formula: stopping distance = (initial velocity)^2 / (2 * deceleration). Converting 200 km/hr to meters per second gives approximately 55.56 m/s. Using the deceleration of 0.2g (where g = 9.81 m/s²), the stopping distance is (55.56)^2 / (2 * 0.2 * 9.81) ≈ 786 meters, which is less than 1 km (1000 meters), so the train will stop in time.

A Train Travelling at 200 Km/hr Has to Brake Due