Processing math: 100%

Wave pulse

A wave pulse is described by the equation,

$\large y=\exp(-(-6x - 7t)^2)$ [m].

Here t is measured in seconds and x is measured in meters.

y

-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
0.0
0.2
0.4
0.6
0.8
1.0
1.2

$x$ [μm]
at $t=$0 s.

at t=

What is the maximum amplitude of the wave pulse? y= [m]
What is the velocity of this wave pulse? (The velocity can be negative.)v= [m/s]
What is the maximum value that ∂y∂t achieves?∂y∂t= [m/s]
What is the maximum value that ∂y∂x achieves?∂y∂x=