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A long rope is stretched out horizontally among two students. The student on the left moves his hand up and down sinusoidal with a frequency of 2 Hz and an amplitude of 5 cm. The wave moves to the right with a speed of 10 m/s; and at time t = 0 the left end of the rope is moving downward through the mid-point of displacement. Discover (a) the wave number (b) the wavelength (c) the angular frequency, (d) the equation for a wave as a function of time and position, (e) the displacement of the rope when x = 2 m and t = 1.5 s.

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