Wave Speed Equation: Solve Homework w/ Max Displacement 0.16m

[Hydrous Caperilla]

Homework Statement

y(x,t)=0.8/{(4x+5t)^2+5 }represents a moving pulse,where x and y are in metre and tin second.Then choose the options.

(a)Pulse is moving in positive X axis
(b)In 2 secs,it will travel a displacement of 2.5m
(c)It's maximum displacement is 0.16m
(d)It is a symmetric pulse

Homework Equations

The Attempt at a Solution

So since it is a general transverse wave so it's velocity is 1.25 towards negative X axis.

I can't say about the amplitude unless I know the shape of the pulse so How should I graph this and work out the other options

 

[DrClaude]

There is no t in the equation.

 

[Hydrous Caperilla]

My mistake...sorry

 

[ehild]

Homework Statement

y(x,t)=0.8/{(4x+5t)^2+5 }represents a moving pulse,where x and y are in metre and tin second.Then choose the options.

(a)Pulse is moving in positive X axis
(b)In 2 secs,it will travel a displacement of 2.5m
(c)It's maximum displacement is 0.16m
(d)It is a symmetric pulse

Homework Equations

The Attempt at a Solution

So since it is a general transverse wave so it's velocity is 1.25 towards negative X axis.

I can't say about the amplitude unless I know the shape of the pulse so How should I graph this and work out the other options

How does it look at t=0?

 

[Hydrous Caperilla]

How does it look at t=0?

At t=0,y is 0.16m

 

[DrClaude]

At t=0,y is 0.16m

At $t=0$, $y$ is a function of $x$.

 

[Hydrous Caperilla]

I got the graph and it looks symmetric to Y axis with y=0.16 m at t=0

 

[DrClaude]

I got the graph and it looks symmetric to Y axis with y=0.16 m at t=0

You should calculate the position x_max of the maximum of y (it will be a function of t), and then the value of y(x_max,t). That will tell you what the maximum displacement is. You can then check the symmetry of y around x_max.

 

[ehild]

I got the graph and it looks symmetric to Y axis with y=0.16 m at t=0

Yes, it is symmetric to the Y axis at t=0. At what x does the function $$ y(x)=\frac{0.8}{(4x)^2+5} $$ have its maximum, and what is the maximum displacement from equilibrium?
At what x is the maximum of y(x,t) at a different time, at t = 2 s, for example?