A car being driven by a physics teacher is located 0.4 km from a railway crossing and is cruising towards it with a velocity of 30 m/s. The teacher notices a train to be within 300 m from the crossing and moving towards it with a constant velocity of 25 m/s. If the teacher decides to "GO FOR IT!" and begins to accelerate his car the instant he sees the train such that the velocity of the car is 45 m/s when it reaches the crossing: Determine whether or not a crash will take place. Explain and show all calculations.