Graphing Trajectory with Drag using Program

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SUMMARY

The discussion focuses on calculating the trajectory of a projectile with drag using specific parameters: mass of 100 Kg, cross-sectional area of 4, drag coefficient of 0.4, initial velocity of 17.59 m/s, and gravitational acceleration of 9.81 m/s². The user seeks an equation to determine the height (Y) at intervals of distance (X) while accounting for drag, which complicates the standard projectile motion equations. The user has identified the terminal velocity as 31.649 m/s but is struggling to incorporate drag into their calculations effectively.

PREREQUISITES
  • Understanding of basic physics concepts, particularly projectile motion.
  • Familiarity with drag equations in physics.
  • Knowledge of trigonometric functions, specifically tangent for angle calculations.
  • Proficiency in mathematical modeling and solving equations.
NEXT STEPS
  • Research the drag equation and its application in projectile motion.
  • Learn how to derive the trajectory equations incorporating drag forces.
  • Explore numerical methods for solving differential equations related to motion with drag.
  • Investigate simulation tools like MATLAB or Python libraries for modeling projectile motion with drag.
USEFUL FOR

Students in physics or engineering, game developers implementing realistic physics, and anyone interested in advanced projectile motion calculations involving drag.

Urban_Monkey
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Homework Statement

​


mass = 100 Kg
Cross Area = 4
Drag = .4
Initial velocity = 17.59 m/s
Gravity = 9.81
Angle Changes according to the position of the mouse
Terminal velocity = 31.649 ; Don't know if its relevant but I calculated this


Homework Equations

​


Y1 := X*tan(ang)-9.81*(X^2)/(2*((Vel*cos(ang))^2)) ; This is the equation without drag


The Attempt at a Solution

​


I have looked up everywhere for Drag equations, but I can't find an equation

That solves for the height Y at intervals of X
That has all the variables I have anything not listed isn't relevant or shouldn't be
Everything is constant


If there is anybody able to help me I will be forever grateful
I have been working on this for months, trying to figure this out, and have wondered why is wasn't working when finally found out there's drag in a simple game which turned out not to be so simple.

If there is anything that I can help with I will most gladly try and help.

Thank you for your time I really appreciate it.
 
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