physics

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The following wave function represents a travelling wave:
y = 3.45 / [6.35 + (6.35x−8.30 t )2]
where y and x are in cm, and t is in seconds.a) What is the maximum displacement of the wave at t = 7.50 s ?
b) what is the velocity.

  • physics -

    Do you mean
    y = 3.45 / [6.35 + (6.35x−8.30 t )^2] ??

    if so for part a we want the shape when t = 7.5
    y = 3.45/[ 6.35 + (6.35x - 62.25)^2]
    that is biggest when 6.35x =62.25

    for part b, when is 6.35 x - 8.30 t a constant? That is where if we hold that constant the wave looks the same.
    y = f(6.35x-8.30t)
    constant when
    6.35x-8.30t = k
    x = (8.3/6.35)t + k/6.35

    dx/dt = 8.3/6.35

  • physics -

    The following wave function represents a travelling wave:
    y = 3.45 / [6.35 + (6.35x−8.30 t )2]
    where y and x are in cm, and t is in seconds. a). What is the maximum displacement of the wave at t = 7.50 s ?
    b). what is the wave velocity?
    please explain more

  • physics -

    If you move along with the wave, so that the wave always looks the same beside you, that is the phase velocity of the wave.
    wave is a function of form:
    y = f(ax-bt)

    as long as ax-bt is constant, the function is constant
    that happens when
    a x - bt = constant
    or
    a dx/dt = b
    dx/dt = b/a

  • physics -

    In part a, the function is big when the denominator is small.
    That is when
    6.35x−8.30 t = 0

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