It’s been suggested that a sinusoidal cable force fc(t)= is more effective in bringing the diver to the surface safely, i.e. ∆p(t)≤ ∆Pmax,t≥0, and in less time compared to a constant force. Using the...

It’s been suggested that a sinusoidal cable force f_c(t)=
is more effective in bringing the diver to the surface safely, i.e. ∆p(t)≤ ∆P_max,t≥0, and in less time compared to a constant force. Using the baseline system parameters, choose a numerical integration method to approximate the system dynamics with the suggested type of cable force. That is, experiment with different values of
, A, and P and comment on the validity of the claim about using the sinusoidal cable force.