Exercise Bungee Cord

Derive Equations for Bungee Jumper! (URGENT)?
A bungee jumper weighting 75 kg jumps from a platform using a 25m elastic cord with
an elasticity constant “k” = 200N/m. The friction between the fibers of the cord leads to a viscous resistance force proportional with the strain rate.
(proportionality constant c = 150Ns).
Strain Rate = v / lo = v / 25
Note: The cord will exercise forces only when extended.
Derive the equations of motion for the jumper, and only consider the vertical motion of the jumper.(g=9.81m/s^2)
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I am just a little confused on how to solve this question. I know that it needs to be a piecewise function.
That is about it, I am stumped after that.
Any and all help is welcomed.
Cheers,
Genie
Use F = ma ==> a = F/m
So, weight is force causing acceleration, and -kx is spring force and -cv is friction force.
a = dv/dt = g – kx/m – 6V/m
now I guess you need to integrate twice to get v(t) and x(t)
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