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Does the equation y=+sqrt(16-(2x-t)^(2...

Does the equation
`y=+sqrt(16-(2x-t)^(2)`,
(2x-t)lt4 or (2x-t)gt-4`,
=0,otherwise
represent a wave? If yes, then find the amlityde and the phase velocity.

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AI Generated Solution

To determine if the equation \( y = \sqrt{16 - (2x - t)^2} \) represents a wave, and to find its amplitude and phase velocity, we can follow these steps: ### Step 1: Check if the equation represents a wave A function \( y \) is said to represent a wave if it can be expressed in the form \( y = f(x - vt) \) or \( y = f(x + vt) \). In our case, we have: \[ y = \sqrt{16 - (2x - t)^2} ...
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CENGAGE PHYSICS ENGLISH-TRAVELLING WAVES-Exercise 5.2
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  4. The equation of a travelling wave is given by y=+(b)/(a)sqrt(a^(2)-(...

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