Ball Trajectory Calculations

V is initial ball velocity
h is the launch angle
g is gravity

Flight Time

t=(2*V*sin(h))/g

Max Height

z=((V^2)*sin^2(h))/2g

Total Distance

d=((V^2)*sin(2h))/g

Terminology

Angle of Attack (AoA)

The up or down movement of the club as it impacts the ball and the angle is relative to the ground. Drivers should have a positive AoA as you hit up on them, irons are negative as you hit down on them. This is basically the positioning of the player forward and backward on the ball. The following chart uses values from -10 to 10 degrees.

Chart

Dynamic Loft

The vertical angle of the club face at the center-point of contact between the club and ball at the time of maximum compression. Dynamic Loft is the amount of loft on the club face at impact and is measured relative to the horizon. It's the degree/angle of the club face.

Launch Angle

The ball's launch angle is 85% dynamic loft + 15% angle of attack.

A(L)=(.85)*A(l) + (.15)*A(a)

A(L) is the launch angle
A(l) is the dynamic loft angle
A(a) is the angle of attack

Swing Speed

The speed of the golf club, generally measured in mph.

Ball Speed

The speed of the ball immediately after impact from a golf club, generally measured in mph. Calculation:

Vb = Vo * cos(t)

Vb = Velocity of the ball
Vo = Velocity of the swing
t = Launch Angle

Course Measurements

As it stands, with the example/trial course I made if 1 pixel equals 1 yard then the hole is 512 yards, which would be an appropriately sized par-5. This seems proper.

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