A simple model of a glider flying along up and down but not left or right (“planar” motion) is given by
where θ represents the angle of the nose of the glider with the horizon, s > 0 represents its speed, and D ≥ 0 is a parameter that represents drag (see the DETools program HMSGlider).
(a) Calculate the equilibrium points for this system.
(b) Give a physical description of the motion of the glider that corresponds to these points.
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