Question: 5- A 5 kg object is dropped from rest in a medium that exerts a resistive force with magnitude proportional to the square of the


5- A 5 kg object is dropped from rest in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The magnitude of the resisting force is 1 N when the magnitude of the velocity is 2 m/s. Find the velocity v(t) of the object at any time t > 0, and find its terminal velocity. 6- A mass of one kg is attached to a spring with constant k = 4 N/m. An external force F(t) = - cos(3t) - 2sin(3t) is applied to the mass. Find the displacement y(t) for t > 0. Assume that the mass is initially displaced 3 m above equilibrium and given an upward velocity of 4.50 m/s
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