Question

A wave on the surface of a long canal is described by the function
$y(x,t) = 5sin(2x - \frac{\pi }{2} t), x\geq 0$.

a) Find the function that models the position of the point x=0 at any time t.
b) Sketch the shape of the wave when t=0, 0.4,0.8,1.2, and 1.6. Id this a traveling wave?
c) FInd the velocity of the wave.
d) A traveling wave has a period of $\frac{3\pi }{4}$, amplitude 2, and velocity 0.5. Find the equation of the wave.

Answer 1

hope, you understood the solution...