In the vertical jump, an Kobe Bryant 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 Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle.

Question

To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 moving up to the time it takes him to go from the floor to that height. You may ignore air resistance.

NOTE: I got something like 70.7% of the time, but no matter how i write the answer it tells me that I'm wrong. I tried .700, 70.0, and .707 and none were good. PLEASE HELP =]

Answer 1

You have it correct, I can't help you with your computer acceptance format. Maybe they want 1/sqrt2 I have no idea.

Answer 2

it was a format and i ran out of tries. Basically it wanted me to divide .707 by .293. The worst part is that it was worth a lot =[ o well

Answer 3

How did you figure this problem out? How did you work it out?

Answer 4

The time he takes to go up from y(max) /2 to the y{max } is the same as the time he falls from y [max ] to y [ max] /2.

Let y max = H and then y max = H/2

t1^2 = 2g H/2. ===========1

Simnilarly,
Time it takes him to go from the floor to that height
t2^2 = 2g H======================2

1divided by 2 gives

(t1/t2)^2 = 1/2 = 0.5

t1/t2 = 0.707 neaarly 70 %.

t1 = 70% t2.

Thus, for 70% of the total time of going up, he is in the upper half of the total height.
Hence he seems to hang in the air

Answer 5

jesus

Answer 6

The answer was 4.82. I tried solving it, but I ran out of attempts inputting .707,etc. I still have no idea how

Answer 7

It's .707/.293 because its the ymax/ (1-y max) or something like that.

Answer 8

So the reason it is .707/.293 is you're finding the ratio between how much time it was above h/2 vs. bellow h/2.