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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." 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 [url="http://www.flippingphysics.com/the-euler-method.html"]Want lecture notes & the Excel File?[/url] (also contain's photo credits and links to website's shown in video) The original problem videos for this are: [url="http://www.flippingphysics.com/projectile-motion-problem-part-1-of-2.html"](part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/projectile-motion-problem-part-2-of-2.html"](part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/how-many.html"]How Many Attempts did it Really Take?[/url] - with live music from Amos Lee [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]

Name: A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method) Category: Dynamics Date Added: 22 May 2014 - 05:01 PM Submitter: Flipping Physics Short Description: None Provided 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." 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 View Video