(Solved): 2. The wave function of a wave is shown in the following graphs for two times. The time of each gra ...

2. The wave function of a wave is shown in the following graphs for two times. The time of each graph in seconds is indicated in the upper left of the graph. The position of the wave is indicated by the horizontal axes. The vertical axes of the graphs indicate the disturbance created by the wave in arbitrary dimensionless units. (a) The wave has the waveform $$y(x,0)=Cx{e}^{?x^2}$$. What is the constant value of $$C$$ ? Consider $$x$$ to be dimensionless and numerically equal to the position in meters. (b) Determine the speed of the wave. (c) Write an equation for the wave function of the wave. 3. A $$35.0\mathrm{g}$$ spring is stretched to a length of $$2.50\mathrm{m}$$. Longitudinal waves on the spring travel with a speed of $$56.7\mathrm{m}/\mathrm{s}$$. Transverse waves on the spring travel with a speed of $$29.3\mathrm{m}/\mathrm{s}$$. How far is the spring stretched from its equilibrium position?