An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force is constant with g 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter34: Maxwell’s Equations And Electromagnetic Waves
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An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force
is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of
the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air
resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.
Transcribed Image Text:An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational force is constant with g = 9.81 [m/sec²], and the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 4 [N-sec/m]. We ignore the forces other than gravity and air resistance. Use the velocity v(t) [m/sec] as our unknown and pick the downward direction as positive.
Derive an initial value problem (ODE+IC) for each of the following physical settings.
Transcribed Image Text:Derive an initial value problem (ODE+IC) for each of the following physical settings.
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