The speed v(t) of a falling object can sometimes be modeled by dv m = mg dt kv,dv k +
Chapter 9, Problem 31(choose chapter or problem)
The speed v(t) of a falling object can sometimes be modeled by dv m = mg dt kv,dv k + -v=g. dt m where m is the mass of the body, g the gravitational acceleration, and k a constant related to the air resistance. Solve this DE when u(0) = 0. Describe the long term behavior of v(t). Sketch a graph.
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