How High Does a Jumper Raise Their Center of Gravity?

AI Thread Summary
A jumper takes off at a velocity of 5 m/s at a 20-degree angle, prompting a discussion on how high he raises his center of gravity. Initial calculations for vertical and horizontal velocities were made, but the height calculation yielded an incorrect result of 0.087 m. Participants suggested that the angle might be misinterpreted, possibly needing to be considered as 20 degrees to the vertical instead. This adjustment would change the vertical velocity calculation, leading to a new expected height of 0.14 m. Clarification on the angle's interpretation is crucial for accurate height determination.
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Homework Statement


A jumper takes off with a velocity of 5 ms at an angle of 20 degrees to the horizontal.
How high does he raise his center of gravity?



Homework Equations





The Attempt at a Solution


I know that Vh= 5scos20 = 1.7 m/s and Vv=5Csin20=4.70 m/s

using 0=Vi^2 + 2ad
0=5sin20 + 2 X-9.81d
19.62d=1.7
d=1.7/19.62
d=0.087m, but its incorrect. Am I misssing something? The only Thing I can think of is beacuse its his centre of gravity that I should treat it as a vertical launnched projectile?
 
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bionut said:

Homework Statement


A jumper takes off with a velocity of 5 ms at an angle of 20 degrees to the horizontal.
How high does he raise his center of gravity?



Homework Equations





The Attempt at a Solution


I know that Vh= 5sin20 = 1.7 m/s and Vv=5Cos20=4.70 m/s

using 0=Vi^2 + 2ad
0=5sin20 + 2 X-9.81d
19.62d=1.7
d=1.7/19.62
d=0.087m, but its incorrect. Am I misssing something? The only Thing I can think of is beacuse its his centre of gravity that I should treat it as a vertical launnched projectile?

Nothing wrong with your calculation. Since they are asking how high, could this be the high-jump and the angle is actually 20 degrees to the vertical?
 
thanks for your help, that's what i was thinking would it then mean that the Vv is 5Cos20 instead of 5Sin20? Is that what you are suggesting?, also the answer is 0.14m...
 
Can anyone else help... I still can't get 0.14m?

:-(
 
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