Solve the all parts of given problem:
Problem: A blue car with mass mc = 449 kg is moving east with a speed of vc = 18 m/s and collides with a purple truck with mass mt = 1225 kg that is moving south with a speed of vt = 13 m/s. The two collide and lock together after the collision.
Part A: What is the magnitude of the initial momentum of the car?
Part B: What is the magnitude of the initial momentum of the truck?
Part C: What is the angle that the car-truck combination travels after the collision? (give your answer as an angle South of East)
Part D: What is the magnitude of the momentum of the car-truck combination immediately after the collision?
Part E: What is the speed of the car-truck combination immediately after the collision?
Part F: Compare the initial and final kinetic energy of the total system before and after the collision:
Please show all work and steps to determine the magnitude of the initial momentum of the car.