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Develop a mathematical model and computer simulation (Excel or MATLAB) to describe projectile mo-tion with air resistance

Math Sep 21, 2021

Develop a mathematical model and computer simulation (Excel or MATLAB) to describe projectile mo-tion with air resistance. Details to help with the model and equation development can be found at https://farside.ph.utexas .edu/teaching/336k/Newton/node29.html or at other similar websites. 
Then using your model: 
Calculate the minimum initial velocity (in mph) required to kick a 65 yard field goal. Note: The current record for the longest field goal in the NFL is 64 yards. 
or 
Calculate the minimum initial velocity (in mph) required to hit a 600 ft home run. For an interesting dis-cussion on long home runs see http://www.baseball-almanac.com/feats/art_hr.shtml. 
Assignment Specifically 1. Provide background and brief description of the problem. 2. Explain your mathematical model, including all assumptions. 3. Clearly state all inputs to your model and all outputs. 4. Present sufficient data (in graphical form?) and discuss your results. 5. Compare your result with air resistance to the case neglecting air resistance. Communicate your results in a brief memo. A schematic, table, and/or figure will be useful to present your results. Attach all relevant calculations, programs, or spreadsheets in an appendix. Include references, properly formated. 
 

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