(a) The plot below represents a snapshot of a wave in space taken a time t = 0s. Draw the history graph for this wave at x = 6m for t=0s to t = 6s. y (cm) 1 -1 1 2 3 -1 +4 1 m/s 56 x (m) (b) The plot below represents the history graph of a wave at x = 0m. If the wave was moving with a speed of 1 m/s to the right. Draw a snapshot graph of this wave a t = 1s. y (cm) -1 2 4 5 6 t(s)

The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the following wave function: y(x,t) a) What is the wave speed? 0.25 sin(57TX + 16n), Here x and y are in meters and time is in seconds. b) In which direction is the wave travelling? c) How much tension is in the string? d) Find the particle velocity at position x= 1.5 m and at time t = 14 seconds e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.

(a) At t = 0, a wave traveling to the right at 2 m/s, shown below. What does the displacement at x = 6 look like as a function of time? D(x, t) 0 3 2 5 3 (b) The graph shows the displacement at a point x = 2 cm for a transverse wave traveling to the right at 2 cm/s. If we take a picture of the wave at t = 2 s, what will it look like? (plot D(x, t) vs x here) D(r, t) 6 5 x rt 6

A sinusoidal wave is given by:  y= 8 sin (2x - 5t) cm determine the  transverse velocity vy of a point on this wave in cm/s at point x =8 cm for t=3 s.