In a demonstration, a 1. 2 kg horizontal rope is fixed in place at its two ends (x=0 and x=2. 0 m) and made to oscillate up and down in the fundamental mode, at frequency 5. 0 Hz. At t=0, the point at x=1. 0 m has zero displacement and is moving upward in the positive direction of a y axis with a transverse velocity of 5. 0 m/s. What are (a) the amplitude of the motion of that point and (b) the tension in the rope? (c) Write the standing wave equation for the fundamental mode.