Question

Surprisingly, very few athletes can jump more than 2 feet (0.6 m) straight up. use and solve for the time one spends moving upward in a 0.6-m vertical jump. then double it for the "hang time"—the time one’s feet are off the ground.

Answer 1

The time spent moving upward in a 0.6-meter vertical jump is approximately 0.28 seconds. The hang time, which is the time one's feet are off the ground, is approximately 0.56 seconds.

Step-by-step explanation:

To calculate the time spent moving upward in a 0.6-meter vertical jump, we can use the equation s = ut + 0.5at^2, where s is the displacement (0.6 m), u is the initial vertical velocity (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time. Rearranging the equation, we get t = sqrt(2s/a). Plugging in the values, we find that t is approximately 0.28 seconds. Doubling this time, we get the hang time, which is approximately 0.56 seconds.

Answer 2

The time spent moving upward in a 0.6-meter vertical jump is approximately 0.44 seconds, and the hang time—both upward and downward combined—is approximately 0.88 seconds.

Explanation:

To determine the time spent moving upward in a vertical jump, we can use the kinematic equation for vertical motion:

`\[ h = (1)/(2)gt^2 \]`

Where:

h is the jump height (0.6 meters),

g is the acceleration due to gravity (approximately 9.8 m/s²), and

t is the time spent moving upward.

Rearranging the equation to solve for t , we get:

`\[ t = \sqrt{(2h)/(g)} \]`

Substituting the given values, we find t to be approximately 0.44 seconds.

To find the total hang time, we double this time since it includes both the upward and downward motion. Therefore, the hang time is approximately 0.88 seconds.

Understanding the physics behind vertical jumps involves recognizing that the time spent ascending is determined by the initial velocity imparted to the body, which is influenced by factors such as leg strength and technique.

In this case, the calculated time provides insight into the brief duration an athlete spends in the air during a 0.6-meter jump. These calculations are crucial for athletes and coaches in various sports, helping them optimize training regimens and improve performance in activities requiring explosive vertical movements.