train traveling v0 250 ms begins brake applying velocity dependent instantaneous acceleratio

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.

 
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