Distance between two trains

Classical Mechanics Level 2

Two trains move along a track with their respective velocities \(+40\) m/s and \(-30\) m/s. Suddenly, the conductors notice that they are headed toward each other. The above graph gives each train's velocity \(v\) as a function of time \(t,\) as the conductors slow down their trains. The slowing processes begin when the two trains are \(200\) m apart. What is the distance (in m) between the two trains when both trains have stopped?

The graph's vertical scaling is set by \(v_{s}= 40.0\) m/s.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.