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(b) 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.

(b) 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 20EQ
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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.
(b) 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:(b) 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.
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