In skydiving, the vertical velocity component of the skydiver is
typically zero at the moment he or she leaves the plane; the vertical
component of the velocity then increases until the skydiver reaches terminal
speed. For a simplified model of this motion we assume than the horizontal
velocity component is zero and that the vertical velocity component increases
linearly, with acceleration ay = −g, until the skydiver reaches terminal
velocity, after which it stays constant. Thus, our simplified model assumes free
fall without air resistance followed by falling at constant speed. Sketch the
kinetic energy, potential energy, and total energy as a function of time for this
model.
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