Equation of projectile with drag and lift

[Katie Smith]

I need an equation that solves for the height of a projectile at a specific x position. The known variables are spin of the ball, initial position, initial velocity, initial launch angle and the drag and lift coefficients.

 

[berkeman]

I need an equation that solves for the height of a projectile at a specific x position. The known variables are spin of the ball, initial position, initial velocity, initial launch angle and the drag and lift coefficients.

Welcome to the PF.

How does a projectile have "lift"? Do you mean like a golf ball with backspin?

I googled projectile motion with air resistance, and got lots of good hits...

https://www.google.com/webhp?source...UTF-8#q=projectile+motion+with+air+resistance

 

[boneh3ad]

Welcome to the PF.

How does a projectile have "lift"? Do you mean like a golf ball with backspin?

I googled projectile motion with air resistance, and got lots of good hits...

https://www.google.com/webhp?source...UTF-8#q=projectile+motion+with+air+resistance

She mentions that the ball is spinning, so presumably it experiences the Magnus effect.