### Finished Project

Here is our finished project on Long Jump.

What we are testing: What aspects help a long jumper jump better? (increased velocity/acceleration etc.) And why does this help?

These are the results from our two videos.
Video 1 started with a slower velocity.
We increased the velocity in video 2.

 Analysis of Video 1 Analysis of Video 2 Force found with force plate F= 1676.8 N d=9.5m t=3.17s Mass: 120lb(.4536kg)= 54kg   V=d/t V=9.5m/3.17s V=3.0m/s   V=vf/2 3.0m/s=vf/2 Vf=6m/s   Vf=at 6m/s=a(3.17s) a=2m/s^2     p=mv p=54.5kg(3.0m/s) p=163.5kgm/s   w=Fd w=1676.8N(9.5m) w=15929.6 Force found with force plate F= 2450.2 N d=9.5m t=2.46s Mass: 120lb(.4536kg)= 54kg   V=d/t V=9.5m/2.46s V=3.86m/s   V=vf/2 3.86m/s=vf/2 Vf=7.7m/s   Vf=at 7.7m/s=a(2.46s) a=3.13m/s^2   p=mv p=54.5kg(3.8m/s) p=210.37kgm/s     w=Fd w=2450.2N(9.5m) w=23276.9

How does this apply to our topic?

By varying the velocity of the runner, her acceleration changed. With a faster velocity, came a larger acceleration, a higher force exerted on the force plate, more work, and a higher momentum. Higher velocity resulted in more momentum. More work resulted in more force. With more force, the jumper can jump higher, and with more momentum, the jumper can jump further. More height and momentum contribute to a better, longer jump. This is why if a runner increase their acceleration or velocity it will result in a longer jump.Our data clearly supports these ideas. When the acceleration was increased from 2m/s2 to 3.13m/s2 the Force also increased from 1676.8N to 2450.2N. This supports the equation F=ma and also supports our idea that more acceleration leads to a higher force and results in a longer jump.

Below we are attatching 4 files.

The first attatched file is the data we collected from the Force plate in Logger Pro for the 1st video.

The second attached file is the data we collected from the Force plate in Logger Pro for the 2nd video.

The third file is the video in Tracker of the 1st video.

The last file is the video in Tracker of the 2nd video.

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Force1.cmbl
(23k)
Steve Dickie,
May 17, 2009, 4:19 PM
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Force3.cmbl
(23k)
Steve Dickie,
May 17, 2009, 4:19 PM
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Steve Dickie,
May 17, 2009, 4:23 PM
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Steve Dickie,
May 17, 2009, 4:24 PM