In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor.To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 (moving up from ymax/2 to ymax and then moving down to ymax/2) to the time it takes him to go from the floor to that height. You may ignore air resistance.

Question

In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor.To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 (moving up from ymax/2 to ymax and then moving down to ymax/2) to the time it takes him to go from the floor to that height. You may ignore air resistance.

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