Q 03: a 10kg mass is attached to a spring having the spring constant of 140N/m. The mass is started in motion from equilibrium position with an initial velocity of 1m/s in the upward direction and with an external force F (t) = 5 sin t FORM the model/governing ODE and the subsequent motion of the mass if the force due to air resistance is -90v N.   please solve it briefely and step wise

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Q 03: a 10kg mass is attached to a spring having the spring constant of 140N/m. The mass is started in motion from equilibrium position with an initial velocity of 1m/s in the upward direction and with an external force F (t) = 5 sin t

FORM the model/governing ODE and the subsequent motion of the mass if the force due to air resistance is -90v N.  

please solve it briefely and step wise

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