A train traveling at v0 = 25.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration a(v) = α...

A train traveling at v0 = 25.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration a(v) = α /(v u) m/s2, where α = – 15.0 m2/s3, v is the instantaneous velocity of the train, and u = 0.2 m/s. Determine the distance traveled by the train until it comes to a complete stop.