21.9 Suppose that the upward force of air resistance on a fallingobject is proportional to the square of the velocity. For this case, thevelocity can be computed asgmtanhCdgCav(t) =mwhere 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 determinehow far the object falls in 10 s. (b) Make the same evaluation, butevaluate the integral with the multiple-segment trapezoidal rule. Use asufficiently high n that you get three significant digits of accuracy.

Mathematically the derivative of a function is defined as f'(t)=limt→0f(t+h)-f(t)h. According to the…

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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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