When a basketball player jumps there is a horizontal and vertical in the jump velocity at take off. The magnitude of the vertical velocity when a player takes off will determine how much hang time they have. Since gravity works in the vertical direction, it will put a force on the player to bring him back down to ground. This showing that the vertical velocity after the player leaves the ground will change with time. But since there is no force like gravity working in the horizontal direction, the horizontal velocity will remain constant throughout the jump.
A chart the would show a basketball players jump would look something like this.
There is a formula that would help you solve for hang time and that formula is d=vit + .5at^2. d would equal vertical jump distance. v1 is the vertical component of jump velocity. t is time. g is the acceleration due to gravity. If you have enough information, you can plug what you know into this equation and find out what you need to. Overall the sport of basketball has physics everywhere, the art of jumping and hang time is just one small part.
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