An elevator E is raised by a cable C that runs from a motor, up over a fixed pulley, down around a pulley attached to E and up to a fixed anchor, so two segments of cable C support E. A counterweight W is connected to E by a separate cable over fixed pulleys, so that W moves down exactly as much as E moves up. The elevator starts from rest and moves upward with constant acceleration; the counterweight moves through 30 ft in 5 s. Determine (a) the acceleration of the elevator, (b) the acceleration of cable C at the motor, (c) the velocity of the elevator after 5 s. (answers in ft/s^{2}, ft/s^{2} and ft/s)