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Equations of motion in a free fall with friction
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[QUOTE="PeroK, post: 6250495, member: 493650"] The simple answer is that yes, this is about solving differential equations. Have you studied these? Your last equation could better be written: ##\ddot{z} = g - \frac{\lambda}{m}\dot{z}## Note: this is, by definition, the "equation of motion" for the system. In the first part of your post you effectively integrated this, using the initial conditions, to get: ##\dot{z} = gt - \frac \lambda m z## Note that your "weird" integral was just the integral of a derivative, which is given by the fundamental theorem of calculus. Note that the derivative should be an ordinary time derivative, not a partial derivative. [/QUOTE]
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Equations of motion in a free fall with friction
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