2. a pool company is trying out several new drains. drain a empties a pool at a rate of 2 gal/min. drain b empties a pool at a rate of 5 gal/min. one pool has 108 gal of water in it. write an equation for each drain that shows the amount of time it takes to empty the pool. then solve each equation showing your work.

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).