Physics

Problem

The equation of a wave travelling on a string stretched along the

X

-axis is given by

y = Ae^{-\left(\frac{x}{a} + \frac{t}{T}\right)^2}

a. Write the dimensions of

A

a

and

T

. b. Find the wave speed. c. In which direction is the wave travelling? d. Where is the maximum of the pulse located at

t = T

and at

t = 2T