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At t = 0, a transverse wave pluse in a w...

At `t = 0`, a transverse wave pluse in a wire is described by the funcation `y = (6)/(x^(3) + 3)` where `x` and `y` are in meters write the funcation `y(x, t)` that describes this wave if it is travelling in the positive `x` direction with a speed of `4.5 m//s`.

Text Solution

Verified by Experts

The correct Answer is:
`(6)/((x-4.5t)^(2) + 3)`

`y = (6)/(x^(2) + 3) = f(x)`
As `y(x, t) = f(x - vt) = (6)/((x-4.5t)^(2) + 3)`
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