Jim runs off a diving board and lands in the water 3 meters from the end of the board. When he runs at the same speed on a higher diving board, he lands in the water 5 meters from the end of the board. Why is this? A. His horizontal velocity was constant. B. Only his vertical velocity affected the time he stayed airborne. C. Running off the higher board he was in the air for a longer time. D. All of these are true.
If we look at the equation x(final) = v(initial)*t + x(initial), where v(initial in the x dir.) in the same both times, and x(initial) is 0, we can conclude that t is responsible for the change in x(final).
