Your job as assistant coach is to attach one end of several heavy, \(10-\mathrm{m}\) ropes to the trusses that support the gym ceiling, leaving the other end of each hanging free. The team is going to spend the afternoon climbing these ropes, but you begin to wonder about wave pulses traveling on such a rope. You could shake the free end of a rope back and forth once and measure how long it takes the pulse created by this motion to arrive at the top of the rope, but you are more of a calculation person.