Question: The drag on a falling object is proportional to the square of its speed. In a differential equation where v is speed, a is acceleration,
The drag on a falling object is proportional to the square of its speed. In a differential equation
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where v is speed, a is acceleration, and D is drag. Suppose that a = 9.8 m/s2 and that D = 0.0032 per meter (values for a skydiver). Check that the units in the differential equation are consistent. What does the equilibrium speed mean?
Find the equilibria and draw the phase-line diagram for the above differential equations, in addition to answering the questions.
dv
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