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.
1
Expert's answer
2020-09-04T05:55:41-0400

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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