Question 4: (1+1+3 = 5 Points) Consider a wave travelling through a 2 metre long medium. Suppose that the endpoints of t

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Question 4 1 1 3 5 Points Consider A Wave Travelling Through A 2 Metre Long Medium Suppose That The Endpoints Of T 1 (72.86 KiB) Viewed 29 times

Question 4: (1+1+3 = 5 Points) Consider a wave travelling through a 2 metre long medium. Suppose that the endpoints of the medium are fixed so that the wave always has an amplitude of 0 at those endpoints. Let u(x, t) describe the amplitude of the wave at point x and time t. At the starting time we have the following: • The wave amplitude function looks like: 1 (1,1) 0.5 0(0,0) 0 0.5 1 1.5 2 • The (instantaneous) rate of change of amplitude, with respect to time, is 0. a) (1 Point) What are the boundary conditions for the wave equation describing this wave? b) (1 Point) What are the initial conditions for the wave equation describing this wave? c) (3 Points) Solve the wave equation for this wave (i.e., find u(x, t)). (1,0) (2,0)