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21.9 Suppose that the upward force of air resistance on a falling object is proportional to the square of the velocity. For this case, the velocity can be computed as |gm - tanh Cd gcd -t v(t) = m where c4 = a second-order drag coefficient. (a) Ifg = 9.81 m/s², m = 68.1 kg, and ca = 0.25 kg/m, use analytical integration to determine how far the object falls in 10 s. (b) Make the same evaluation, but evaluate the integral with the multiple-segment trapezoidal rule. Use a sufficiently hjgh n that vou get three significant digits of accuracy.

21.9 Suppose that the upward force of air resistance on a falling object is proportional to the square of the velocity. For this case, the velocity can be computed as |gm - tanh Cd gcd -t v(t) = m where c4 = a second-order drag coefficient. (a) Ifg = 9.81 m/s², m = 68.1 kg, and ca = 0.25 kg/m, use analytical integration to determine how far the object falls in 10 s. (b) Make the same evaluation, but evaluate the integral with the multiple-segment trapezoidal rule. Use a sufficiently hjgh n that vou get three significant digits of accuracy.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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21.9 Suppose that the upward force of air resistance on a falling object is proportional to the square of the velocity. For this case, the velocity can be computed as gm tanh Cd gCa v(t) = m where c = a second-order drag coefficient. (a) If g = 9.81 m/s², 68.1 kg, and ca= 0.25 kg/m, use analytical integration to determine how far the object falls in 10 s. (b) Make the same evaluation, but evaluate the integral with the multiple-segment trapezoidal rule. Use a sufficiently high n that you get three significant digits of accuracy.
Transcribed Image Text:21.9 Suppose that the upward force of air resistance on a falling object is proportional to the square of the velocity. For this case, the velocity can be computed as gm tanh Cd gCa v(t) = m where c = a second-order drag coefficient. (a) If g = 9.81 m/s², 68.1 kg, and ca= 0.25 kg/m, use analytical integration to determine how far the object falls in 10 s. (b) Make the same evaluation, but evaluate the integral with the multiple-segment trapezoidal rule. Use a sufficiently high n that you get three significant digits of accuracy.
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