Calculating Vertical Jump Heights

AI Thread Summary
Very few humans can achieve a vertical jump exceeding 2 feet (0.6 m). The time spent moving upward in a 2-foot jump is calculated as approximately 0.35 seconds, leading to a total hang time of 0.70 seconds. For Michael Jordan's jump with a hang time of 1 second, the vertical height is calculated to be 4.9 meters. However, a correction is noted that the hang time should be divided by 2 for accurate calculations in part b. Overall, the calculations for part a are deemed correct, while part b requires adjustment.
needhelp83
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Surprisingly, very few humans can jump more than 2 feet (0.6 m) straight up. Solve for the time one spends moving upward in a 2-foot vertical jump. Then double it for the "hang time" - the time one's feet are off the ground.
b) Calculate the vertical height of Michael Jordan's jump when he attains a hang time of a full 1 s.

a)
t=sqrt(2d/g) =sqrt(2(0.6 m))/9.8 =0.35 s

Hangtime=0.35 s x 2= 0.70 s

b)
d=(1/2)gt2=(1/2)(9.8 m/s2)(1.0 s)2= 4.9 m


Is this correct?
 
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needhelp83 said:
Surprisingly, very few humans can jump more than 2 feet (0.6 m) straight up. Solve for the time one spends moving upward in a 2-foot vertical jump. Then double it for the "hang time" - the time one's feet are off the ground.
b) Calculate the vertical height of Michael Jordan's jump when he attains a hang time of a full 1 s.

a)
t=sqrt(2d/g) =sqrt(2(0.6 m))/9.8 =0.35 s

Hangtime=0.35 s x 2= 0.70 s

b)
d=(1/2)gt2=(1/2)(9.8 m/s2)(1.0 s)2= 4.9 m


Is this correct?
you forgot to divide the hang time by 2 in part b. part a is a ok.
 
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