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

Where cd = a second-order drag coefficient.
(a) If g = 9.8 m/s2, m = 68.1 kg and cd = 0.2.5 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 ofaccuracy.

Transcribed Image Text:

u(r) = gm tanh %3D