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An object of mass ? = 2 kg that moves horizontally at a velocity 8 m...

An object of mass ? = 2 kg that moves horizontally at a velocity 8 m / s enters a zone of length ? = 25 m where it experiences viscous friction numerically equal to one-tenth of its instantaneous speed; when leaving that zone it passes to another part where it only experiences the friction of Coulomb numerically equal to one twentieth of its weight. Find an expression for the speed and position of the object at any instant of time. Indicate how far you arrive at the moment of stopping completely.
The development should include the following: Comparative of the analytic response (symbolic, with replacement of values in the final), Comparing the answers for free and Finding the maximum relative error between the numerical method and the analytic response in the interval of the solution relevant.

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