Recall that the velocity of the free-falling bungee jumper can be computed analytically as...

Recall that the velocity of the free-falling bungee jumper can be computed analytically as [Eq. (1.9)]:

where v(t) = velocity (m/s), t = time (s), g = 9.81 m/s², m = mass (kg), c_d = drag coefficient (kg/m).

(a) Use Romberg integration to compute how far the jumper travels during the first 8 seconds of free fall given m = 80 kg and c_d = 0.2 kg/m. Compute the answer to ε_s = 1%.

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(b) Perform the same computation with integral.

Eq. (1.9):