Question

s.) (Problem 5.13) The velocity v of a falling parachutist is given by v=\frac{g m}{c}\left(1-e^{-\left(\frac{c}{m}\right) t}\right) where g = 9.8 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass m so that the velocity is v = 35 m/s at t=9 s. Write MATLAB programs using both the bisection method and the false-position method to determine m to a level of relative error ɛ, <= 0.1%. Compare the two methods and discuss.

Fig: 1

Fig: 2

Fig: 3