Problem 29PE

Freight trains can produce only relatively small accelerations and decelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s2 for 8.00 min, starting with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s2 , how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?

Part (a)

Step 1 of 9:

The acceleration of a freight train is provided and since these kinds of trains are used for transporting goods, they have very fewer accelerations and decelerations. We are going to find the final velocity of the train if the train is starting with a particular initial velocity.

Acceleration produced

Time taken to reach the final velocity

The initial velocity