This September I fell from my horse while jumping. I decided
to look into the physics behind it to find out how bad the fall was on paper compared
to the actual outcome. The fall happened because my horse and I left the ground
too far away from the jump and crashed through the top rails. We started with
the velocity (in the x-direction) of 4.0 m/s and left from 2.0 m away to a 1.20
jump. At the top of the jump we experienced an inelastic collision with the
stationary rails.

(702 kg)(4.0 m/s) +0=(702+18)V’

V’=3.9 m/s (x-direction)

After the crash I separated from my horse and fell at an
estimated angle of 80 degrees. I was able to find the linear velocity at that
angle to be 4.5 m/s and landed at a distance of 0.211 m from the jump. In
addition to the linear motion I also rotated during the fall which contributed
to my injuries. To find the F of the ground on me, I found KE energy of the
linear and rotational motion and then used the work equation to find my acceleration.
I then converted from m/s

^{2}to g’s and found that I was in the range to have obtained a concussion.
KE=(.5)(50.4)(5.82)

^{2}+(.5)(54)(4.5)^{2}
KE=1399.68 J

W=∆KE W=FdCosϴ -1399.68=F(.211)Cos
80 F=38201

F=ma 38201=(54)a a=707 m/s

^{2}72.2 g’s (70 to get a concussion)
For this problem I had to estimate quite a bit on the
distances and velocity as well as the rotational numbers since the fall wasn’t
recorded and I do not remember what happened. I also ignored air resistance and
friction with the poles.

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