Create a script in matlab/octave to obtain what is given in the problem. A model for a free-falling body under the effect of Earth's gravity is given as:

where m is the mass of the object, g is the acceleration due to gravity, cd is the lumped drag coefficient and t is time. This model applies provided that the object is initially at rest, that is v(0)=0. Create a script that would plot the velocity of a bungee jumper with a mass of 68.1kg for the first 20 seconds of the fall. Use sufficiently small intervals for your time array so that the plot returned is smooth. Let the coefficient of drag be cd= 0.25kg/m. Save the script as freefall.m.

v(t) = mg tanh Cd gca t m