As some people may know, I play a lot of
Ultimate Frisbee and am one of the captains on the team this year. Something
I'm quite good at, and have gotten a reputation for, is laying out for some
pretty sweet catches and blocks. Since conditions in outdoor sports are
variable, I wanted to figure out what my coefficient of friction was with the
ground in both dry and wet conditions, and how far I landed from the point at
which I left my feet. This can be solved by simple use of kinematic
equations we learned in the first half of the semester.
My top speed at full sprint (unfortunately I
can’t hold this for more than a few seconds) is 9.0 m/s. With this we can solve
for the deceleration I experienced, as well as time.
vf^2=vi^2+2ax, for distance after I hit the ground. Normally, I slide about 1.5
meters on dry grass, and 4 meters on wet grass.
With the acceleration, we can then find the
force of friction, and use that to find the coefficient of friction with the
ground for both wet and dry conditions.
Since I tend to position my body such that I
fall 1 meter when I dive, we can also find the force that I experience when I
hit the ground, as well as how far I travel in the air.
Results:
a dry= -27 m/s2, a wet= -10.125
u dry = 2.76, u wet= 1.03
Fground=666.4
N, time of falling=0.45 seconds, distance in air: 4.05 meters
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