#### 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 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 , how long will it take to come to a stop from this velocity?

(c) How far will it travel in each case?

**SOLUTION:**

**Part (a). **The final velocity can be solved using the formula . We substitute the given values.

**Part (b). **Rearrange the equation we used in part (a) by solving in terms of t, we have

**Part (c).** 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

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