Posted by **mike ** on Monday, January 10, 2011 at 12:34am.

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 -
**Damon**, Monday, January 10, 2011 at 2:23am
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 -
**mike **, Monday, January 10, 2011 at 7:25am
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 -
**Damon**, Monday, January 10, 2011 at 10:44am
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 -
**Damon**, Monday, January 10, 2011 at 10:45am
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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