A wave is propagating along the length of a string taken as positive x–axis. The wave equation is given by y = Ae -(t/T - x/λ)2 where A = 5 mm, T = 1.0 s and λ = 8.0 cm.
(a) Find the velocity of the wave.
(b) Find the function f(t) representing the displacement of particle at x = 0.
(c) Find the function g(x) representing the shape of the string of t = 0.
(d) Plot the function g(x) at the string at t = 0 and t = 5 s.
