Projectile Motion with Quadratic Air Drag

You can't really solve for the equation of motion for an object with air drag that depends on the square of the velocity.

Here is how to solve that motion numerically using python.

Link to code

[rio_agustian_]

Could you make video about the analytical solution for the position and velocity?

[BullSight_Archery]

God bless you sir. This might be the best thing that happened to me. Actually insanely helpful. God bless you and your family.

[al_zahraalshaqsi]

After solving the quadratic air drag numerically using initial conditions if i want to find the proper angle to hit a target at a specific horizontal distance what should i do ?

[ecodg]

Hi, I'm doing this for a Numerical Analysis class. I'm trying to describe the motion of other objects like bullets. I've already found values for C_d, however, I don't exactly understand what the cross sectional area would be. Is it what I would see if I'm been shooted (A circle) or what I'd see if I see the shot as an external observer. I hope u can help me and thank u in advance :).

[steopaelidrissi]

Hi, thanks a lot. However, I was wondering what code to input so that I could get the ball's position when y=0

[halttownsend]

Hi, how would you approach using non-uniform gravity & density, i.e. a significant decrease on gravity as the projectile leaves/reaches high altitudes in the atmosphere and decrease in drag with density