# 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?

• 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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