A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In the cases that follow, the car initially has a total mass (car and contents) of 170 kg and is traveling east with a velocity of magnitude 4.70 m/s. Find the final velocity of the handcar in each case, assuming that it does not leave the tracks
a) 24.0 kg mass is thrown sideways out of the car with a velocity of magnitude 1.80 rats relative to the cars initial velocity.
b) A 25 kg mass is thrown backward out of the car with a velocity of 4.70 m/s relative to the initial motion of the car
c) A 24.0 kg mass is thrown into the car with a velocity of 6.30 m/s relative to the ground and opposite in direction to the initial velocity of the car.