A person on a train is flipping a coin. The person on the train flips the coin such that its trajectory is straight up and down, with an initial velocity of 4.38m/s (as observed with the person flipping the coin). The train moves with a velocity of 12.1m/s along the tracks:
1. What is the minimum velocity of the coin through its flight as viewed by a stationary observer on the ground?
2. What is the initial velocity of the coin as observed by a stationary observer on the ground? Give the magnitude and direction.
3. What is the maximum height above the train floor that the coin rises to, according to the person on the train, as well as the person on the ground?