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Question 1: (1 +1 + 3 = 5 Points) Suppose I have a rope, tied at one end, and I give it a single flick so that it forms a perfect sine wave 2 metres in width, after which I hold my end at the same height as the tied end, and let the wave propagate though the rope (in other words, I watch the rope wobble). 1 0.5 0 (0,0) (2,0) -0.5 -1 0 0.5 1 1.5 2 FIGURE The rope's starting configuration We will see how how the wave propagates through the rope (i.e., solve the wave equation for this rope). • The starting time t = 0) is when the rope forms the perfect sine wave (see fig. 1). • Assume for these calculations that the initial derivative w.r.t. time is zero. That is: ut(0,0) = 0.* (1 Point) What are the initial conditions for the wave equation describing this rope configuration?