JUST need last part that is unsolved A pulse moving to the right along the x axi

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JUST need last part that is unsolved

A pulse moving to the right along the x axis is represented by the wave function y(x, t) = 2/(x - 3.0t)^2 + 1 where x and y are measured in centimeters and t is measured in seconds. Find expressions for the wave function at t = 0, t = 1.0 s, and t = 2.0 s. Conceptualize Figure (a) shows the pulse represented by this wave function at t = 0. Imagine this pulse moving to the right at a speed of 3.0 cm/s and maintaining its shape as suggested by figures (b) and (c). Categorize We categorize this example as a relatively simple analysis problem in which we interpret the mathematical representation of a pulse. Analyze The wave function is of the form y = f(x - vt). Inspection of the expression for y(x, t) reveals that the wave speed is v = 3.0 cm/s. Furthermore, by letting x - 3.0t = 0, we find that the maximum value of y is given by A = 2.0 cm. Write the wave function expression at t = 0. Use the following as necessary: x y(x, 0) = Write the wave function expression at t = 1.0 s. Use the following as necessary: x y(x, 1.0) = Write the wave function expression at t = 2.0 s. Use the following as necessary: x y(x, 2.0) = For each of these expressions, we can substitute various values of x and plot the wave function. This procedure yields the wave functions shown in the three parts of the figure. Finalize These snapshots show that the pulse moves to the right without changing its shape and that it has a constant speed of 3.0 cm/s. Another pulse along the x axis is represented by the following equation where x is in meters and t is in seconds. y(x, t) = 7.5e^-(5.48x + 2.90t)^2 What is the pulse's velocity traveling on the x axis? (Indicate the direction with the sign of your answer.) m/s

Explanation / Answer

so given equation is
y(x,t) = 7.5e^(-5.58x + 2.90t)^2
y(x,t) is of the form y = f(x - vt)

so by comparing x - vt to -5.58x + 2.9t
velocity of wave is
v = -2.9 m/s ( to the left)

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