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While real bullets tumble and are a more complex shape, I just ran ainitial
spreadsheet simulation using a 10 gram, 0.6cm spherical bullet. At
velocities of 1000 m/s (but with the same results at 500 m/s) I'mgetting
the same final velocity of the bullet fired anywhere from 5 degrees to90
degrees (within a very small range). Namely, about 50 m/s. I used atime
increment of .01 seconds, a damping factor b = .5xCxrhoxA with C = .5and
an overall b of .0000387. I let g stay constant at 9.81 and assumed afor the
v-squared dependency. The flight times ranges from 12 to 27 seconds
1000 m/s initial velocity. If you want to try this, the onlycomplication
is that the air-resistance induced acceleration changes sign after the(changing
bullet starts down. I just adjusted that manually with each trial
angle).does)
I think this might suggest that once the bullet starts tumbling (if it
then the final velocity really doesn't depend on the angle fired. Can
anybody confirm or refute these calculations?
Rick