Projectile motion with air resistance

AI Thread Summary
The discussion revolves around programming projectile motion with air resistance proportional to the square of velocity. The user is facing challenges due to the reliance on mass in existing equations. A suggestion is made to simplify the problem by using the ratio of air resistance constant k to mass m, allowing the mass to be treated as a constant. Additionally, it is noted that in one-dimensional motion, the velocity can be solved directly over time. This approach can help streamline the simulation without needing to account for mass explicitly.
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Hey guys, I am in the process of writing a program for pmotion with air resistance that is proportional to the velocity squared and I've hit a stump. In my program it simulates the path of the ball by changing the time and putting it into the equation and plotting it on a graph. My problem is all the equations i have found using air resistance has mass. I know this question is not 100% physics but if anyone could help It would be greatly appreciated

The program allows only the input of the horizontal velocity component and the vertical velocity component

Thanks
 
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You have Fd=-kv², and you have ƩF=ma. All that really affects the motion here is the ratio k/m. Call it some constant c=k/m, and then you don't have to worry about the mass.

By the way, in 1D, you can solve for v(t) directly.
 
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