The kinematics equations we may use include:

$\overline{)\mathbf{}{{\mathbf{v}}}_{{\mathbf{f}}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{}}{\mathbf{+}}{\mathbf{a}}{\mathbf{t}}\phantom{\rule{0ex}{0ex}}{\mathbf{\u2206}}{\mathbf{x}}{\mathbf{=}}{\mathbf{}}\mathbf{\left(}\frac{{\mathbf{v}}_{\mathbf{f}}\mathbf{+}{\mathbf{v}}_{\mathbf{0}}}{\mathbf{2}}\mathbf{\right)}{\mathbf{t}}\phantom{\rule{0ex}{0ex}}{\mathbf{\u2206}}{\mathbf{x}}{\mathbf{=}}{\mathbf{}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}{\frac{1}{2}}{\mathbf{a}}{{\mathbf{t}}}^{{\mathbf{2}}}\phantom{\rule{0ex}{0ex}}{\mathbf{}}{{{\mathbf{v}}}_{{\mathbf{f}}}}^{{\mathbf{2}}}{\mathbf{=}}{\mathbf{}}{{{\mathbf{v}}}_{{\mathbf{0}}}}^{{\mathbf{2}}}{\mathbf{}}{\mathbf{+}}{\mathbf{2}}{\mathbf{a}}{\mathbf{\u2206}}{\mathbf{x}}}$

Frieght 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/s^{2} 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/s^{2}, how long will it take to come to stop from this velocity?

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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Motion with Multiple Parts concept. You can view video lessons to learn Motion with Multiple Parts. Or if you need more Motion with Multiple Parts practice, you can also practice Motion with Multiple Parts practice problems.