Schematic of a slingshot pellet being drawn back distance d with force F. The resulting kinetic...
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Schematic of a slingshot pellet being drawn back distance d with force F. The resulting kinetic energy (KE) of the pellet once fired is given by the integral KE=0Fax (integral upper limit d & lower limit 0) The force (N) during the drawback distance (m) are recorded to be x= [0.00 0.15 0.30 0.45 0.60 0.75 0.90 1.05 1.20 1.35 1.50]; F = [037 80 114 144 167 195 217 235 249 260]; a) Use a single application of Simpson's 1/3 Rule (n=3 points) to estimate the kinetic energy of the slingshot pellet and provide the answer accurate to 4 decimal places. b) See if you can improve your estimate by using two applications of Simpson's 1/3 rule followed by two applications of Simpson's 3/8 rule (in that order). Provide your answer accurately to 4 decimal places. Discuss the potential sources of error in numerical integration that could be impacting your current results, and if there are any ways you could reduce them. Comment on how big an impact these errors may be having on your results and how suitable any remedies would be. Schematic of a slingshot pellet being drawn back distance d with force F. The resulting kinetic energy (KE) of the pellet once fired is given by the integral KE=0Fax (integral upper limit d & lower limit 0) The force (N) during the drawback distance (m) are recorded to be x= [0.00 0.15 0.30 0.45 0.60 0.75 0.90 1.05 1.20 1.35 1.50]; F = [037 80 114 144 167 195 217 235 249 260]; a) Use a single application of Simpson's 1/3 Rule (n=3 points) to estimate the kinetic energy of the slingshot pellet and provide the answer accurate to 4 decimal places. b) See if you can improve your estimate by using two applications of Simpson's 1/3 rule followed by two applications of Simpson's 3/8 rule (in that order). Provide your answer accurately to 4 decimal places. Discuss the potential sources of error in numerical integration that could be impacting your current results, and if there are any ways you could reduce them. Comment on how big an impact these errors may be having on your results and how suitable any remedies would be.
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a Single application of Simpsons 13 Rule n3 points Using the given data points the Simpsons 13 Rule with n3 points is given by KE h3Fx0 4Fx1 Fx2 where ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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