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 minutes, 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?
The final velocity can be solved using the formula . We substitute the given values.
Rearrange the equation we used in part (a) by solving in terms of t, we have
The change in position for part (a), , or distance traveled is computed using the formula
For the situation in part (b), the distance traveled is computed using the formula