A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)
(22:00)
This is how you include air resistance in projectile motion. It requires the Drag Force and Numerical Modeling (or the Euler Method). It is also very helpful to use a spreadsheet to do the calculations. I prove a statement from a previous projectile motion problem video, "Air resistance decreases the x displacement of the ball by less than 1 cm."
The Excel file created in the video. Lacrosse Ball Information:
Content Times: 0:22 The statement this video proves 1:01 The basic concept of air resistance 1:54 The Free Body Diagram 2:20 The Drag Force Equation 3:13 Information about the Lacrosse Ball 4:03 The Drag Coefficient 4:55 The Density of Air 5:18 How the Drag Force affects the motion 5:58 The basic idea of Numerical Modeling (or the Euler Method) 6:50 Solving for the acceleration in the x direction 8:53 Solving for the final velocity in the x direction 9:54 Solving for the final position in the x direction 11:41 Entering the Lacrosse Ball information into Excel 13:34 Solving for the Drag Force in x direction in Excel 14:29 Solving for the acceleration in the x direction in Excel 14:58 Solving for the final velocity and final position in the x direction in Excel 15:46 Solving for the acceleration in the y direction 17:21 Solving for all the variables in the y direction in Excel 19:13 Click and Drag Copy. Harnessing the Power of Excel! 19:43 Understanding the numbers in Excel 20:35 Solving for the decrease in the x displacement caused by the Drag Force 
