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A travelling wave is given by y(0.8)/...

A travelling wave is given by
`y(0.8)/((3x^(2)+24xt+48t^(2)+4))`
where `x` and `y` are in metres and `t` is in seconds. Find the velocity in `m//s`.

Text Solution

Verified by Experts

`y=(0.8)/((3x^(2)+24xt+48t^(2)+4))=(0.8)/(3[x^(2)+8xt+16t^(2)]+4)`
`=(0.8)/(3(x+4t)^(2)+4)`
`:.x+4t=x+vt` `:.v=4 m//s`
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