Suppose that a parachutist with linear drag (m = 70 kg, c = 12.5 kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 180 m/s relative to the ground.
(a) Write a system of four differential equations for x, y, ν x = dx/dt and νy = dy/dt.
(b) If the initial horizontal position is defined as x = 0, use Euler's methods with Δt = 1 s to compute the jumper's position over the first 10 s.
(c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.