A person on a train watches a car approaching a railway crossing ahead on his track. It appears that the car’s driver has fallen asleep and will not slow down. The train is traveling north‐east at 100km/h while the car is going west at 80km/h. The train is 4 km and the car is 3km from the crossing. I) What is the velocity of the car relative to the train. Pick the train travel direction (North‐ East) as the +x direction and the perpendicular direction (North‐west) as the +y direction II) Where will the train be when the car gets to the crossing, will they collide? III) Find the acceleration of the car required to cause a collision. IV) In the reference frame of the train rider, what is the acceleration.