A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In the following cases, the car initially has a total mass (car and contents) of 200 kg and is traveling east with a velocity of magnitude 4.80 m/s. Find the final velocity of the car in each case, assuming that the handcar does not leave the tracks.  a) An object with a mass of 20.0 kg is thrown sideways out of the car with a speed of 1.50 m/s relative to the car's initial velocity.  b) An object with a mass of 20.0 kg is thrown backward out of the car with a velocity of 4.80 m/s relative to the initial motion of the car. c) An object with a mass of 20.0 kg is thrown into the car with a velocity of 5.60 m/s relative to the ground and opposite in direction to the initial velocity of the car.

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