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Question

At t = 0, a transverse wave pulse in wire is described by the function;y=6x2+3Where x and y are in meters. Write the function y(x,t) that describes this wave if it travelling in the positive x-direction with a speed of 4.50 m/s.

A
y=12[(x4.5t)2+3]
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B
y=6[(x4.5t)2+9]
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C
y=16[(x4.5t)2+3]
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D
y=6[(x4.5t)2+3]
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Solution

The correct option is D y=6[(x−4.5t)2+3]the equation of transverse wave pulse at t=o is y=6/(x2+3)since the wave is travelling in positive x direction with speed 4.5 m/s so the position of pulse at t time is x−4.5×t so the equation of pulse is y=6(x−4.5t)2+3so the answer is D.

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