![projectile motion with air resistance projectile motion with air resistance](https://s3.studylib.net/store/data/008889881_1-61bc5ce4a576c9ff141768940e8c66c5.png)
zeros (n ) #generate array of n elements to take range from traj_fr for i in range (n ) : #loop to run angles through traj_fr function & populate maxrange array with distance results pi / 2, n ) #generate array of n angles print 'Angles: ', angles X ,y ,duration ,distance = traj_fr (angle ,v0 ) #define variables for output of traj_fr function print 'Distance: ', distanceĪngles = np. Y = y #truncate y array return x, y, (dt *i ), x #return x, y, flight time, range of projectile I = i + 1 #increment i for next iteration Spreadsheet for Projectile Motion Projectile motion Some of the uses of slider variables are demonstrated including animation, a powerful feature of Desmos 1 If the 1The term equation of motion' is a little ambiguous The one is a plane fixed (inertial frame, IF) at the firing site 00001, meaning that we need 400,000 steps 00001, meaning that. X = ( ( 2 *x -x ) + (f * x ) ) / ( 1 + f ) #numerical integration to find x. If you want a detailed discussion about projectile motion, check out. I = 1 while y >= 0 : #loop continuous until y becomes <0, ie projectile hits groundį = 0.5 * gamm * (h - y ) * dt #intermediate 'function' used in calculating x & y vals below The typical definition is the motion of an object due only to the gravitational force (no air resistance, rockets or stuff). X ,y = x + vx0 * ( 2 *dt ), y +vy0 * ( 2 *dt ) #calculating 2nd elements of x & y based on init velocity X ,y = 0, 0 #initial position at t=0s, ie motion starts at (0,0) zeros ( len (time ) ) #initialise y array zeros ( len (time ) ) #initialise x array sin (angle ) *v0 #compute y components of starting velocity cos (angle ) *v0 #compute x components of starting velocity H = 100 #height (used to compute f, below) def traj_fr (angle, v0 ) : #function that computes trajectory for some launch angle & velocity Gamm = 0.005 #gamma (used to compute f, below) The air resistance is c v 2 or c v like normal. If wind is in the direction of motion at 3 m/s and the projectile is moving at 10 m/s then the air resistance term uses 7 m/s. pyplot as pltĭt = 1e - 3 #integration time step (delta t)Īngle = math. The idea is that you have the air resistance force that depends on velocity and it gets modified to account for wind speed. Example: projectile motion with air resistance in python # -*- coding: utf-8 -*- import matplotlib.