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Question

At t = 0, a transverse wave pulse in a wire is described by the function: y=6x2+3 where x and y are in meters. Write the function y=(x,t) that describes this wave if it is traveling in the positive x-direction with speed of 5m/s.

A
y=6(x+5t)2+3
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B
y=6(x5t)2+3
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C
y=6(xt5)2+3
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D
y=6(x+t5)2+3
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Solution

The correct option is B y=6(x5t)2+3
The wave is traveling in positive x-direction with a speed of 5 m/s.
Replacing x(xvt)=(x5t), we get y=6(x5t)2+3.

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