The local humane society is restocking on cat food to prepare for kitten season. very young kittens need kitten formula which cost 3.99 per bottle. older kittens need wet cat food which cost $1.50 per can

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).