Answer to Question #131073 in Thermal Power Engineering for Smith

Question #131073
A train starts from rest at a station and accelerates at a rate of 2 m/s2
for 10 sec. It then runs at constant speed for 30 sec, decelerates at 4 m/s2
until it stops at the next station. Find the total distance covered.
Expert's answer

The motion of train is divided into three parts.

In the first part, train accelerates with from rest for , hence the distance covered is . At the end of this part, the train has speed .

In the second part, the train moves with constant speed for , hence it covers .

In the third part, the train retards with from speed until full stop. For that, time is required. The distance covered is .

Total distance covered is .

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