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Parabolic Trajectory Calculations

by: **Ether**

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[b]Parabolic vs Air-Drag Trajectory revC

Parabolic vs Air-Drag Trajectory revB

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Parabolic vs Air Drag Trajectory revC is the same as revB except the graph is not auto-scaling. Some folks may prefer this.

Parabolic vs Air Drag Trajectory revB fixes a small error: the “launch height” user input parameter was not being imported into the parabola equation.

The physics and math for the computer numerical simulation (including topspin/backspin)

is explained in this paper.

Parabolic Equations and constants a, b, c, xp, and yp

y = a*x[sup]2[/sup] + b*x + c and y = a*(x-xp)[sup]2[/sup] + yp explained:

http://www.chiefdelphi.com/media/papers/download/3868

How to find constants a and b, given launch speed and angle:

http://www.chiefdelphi.com/media/papers/download/3871

How to find constants a and b, given desired scoring range:

http://www.chiefdelphi.com/media/papers/download/3872

How to find constants a and b, given yp and a point (x1,y1) on the trajectory:

http://www.chiefdelphi.com/media/papers/download/3877

Terminal Velocity calculator spreadsheet:

http://www.chiefdelphi.com/media/papers/download/3900

parabola.pdf (48.2 KB)

compute a&b from yp,x1,y1 rev02.pdf (16.6 KB)

parabola vs air drag.zip (57.5 KB)

parabola vs air drag revB.zip (51.7 KB)

parabola vs air drag revC.zip (63.6 KB)

Terminal Velocity.zip (26.5 KB)

given Vo and (d,h) find theta.pdf (44.6 KB)