(10%) Problem 3: Two waves, identical except for their phase constants, travel in the same string.
$y_1(x, t) = (1.88 \text{ cm}) \sin \left[ (70.6 \text{ m}^{-1})x - (54.2 \text{ s}^{-1})t + 1.09 \right]$
$y_2(x, t) = (1.88 \text{ cm}) \sin \left[ (70.6 \text{ m}^{-1})x - (54.2 \text{ s}^{-1})t + 2.67 \right]$
The waves interfere, and the observed wave is of the form
$y(x, t) = A \sin (kx - \omega t + \phi)$
25% Part (a) What is the wavelength, in centimeters, of the observed wave?
25% Part (b) What is the frequency, in hertz, of the observed wave?
25% Part (c) What is the phase constant, in radians, of the observed wave?
25% Part (d) What is the amplitude, in centimeters, of the observed wave?