When you jump upward, your hang time is the time your feet are off the ground. Does hang time depend on your vertical component of velocity when you jump, your horizontal component of velocity, or both? Defend your answer.
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Hang time, or the amount of time your feet remain off the ground when you jump, depends solely on the vertical component of your velocity when you jump.
To understand this, we need to consider the concept of projectile motion. When you jump, your body follows a parabolic trajectory, consisting of both vertical and horizontal components. The vertical component of your velocity determines the height you reach, while the horizontal component determines how far you travel horizontally.
The time it takes for an object to reach its peak height and then return to the ground is the same regardless of the horizontal component of velocity. This is because the vertical motion is independent of the horizontal motion, as long as there are no external forces acting on the object to horizontally accelerate or decelerate it.
In other words, regardless of how fast or slow you are moving horizontally when you jump, your hang time will be the same if your initial vertical component of velocity (i.e., the speed at which you jump upwards) remains constant. The horizontal component of your velocity only influences the distance you cover horizontally during your time in the air, but it does not affect your hang time.
Therefore, it is the vertical component of velocity that determines the hang time when you jump, while the horizontal component of velocity does not have any direct impact on it.