physics
posted by Jessica .
You are late for your train. You are running at a speed of 7 m/s to catch the train. When you are a distance of 100 meters from the station the train starts to pull away from the station with an acceleration of .2 m/s squared. Will you catch the train? Need explanation of steps to figure out how to do this problem. Thanks!

The closing distance has to be zero.
The distance you have to run is 100 m more than the train goes in the time to catch it.
dyou= 100 + 7t
dtrain= 1/2 .2 t^2
set them equal, solve for t.