On a road trip, you drive about 70 miles per hour and your friend drives 60 mph. The plan is to drive less than 15hrs and at least 600 miles each day. Your friend will drive more hours than you. Write the inequalities than can be used to determine all possible solutions of how many hours you and your friend will need to drive.

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).