Answer:
To find the velocity of the wave, we need to determine the relationship between the wave function and the velocity. The general form of a wave function is given by:
y(x,t) = A sin(kx - ωt)
Comparing this with the given wave function:
y(x,t) = 0.55 sin(0.11x - 0.77t)
We can see that A = 0.55, k = 0.11, and ω = 0.77.
The velocity of the wave is given by the formula:
v = ω / k
Substitute the values of ω and k into the formula:
v = 0.77 / 0.11
v = 7 m/s
Therefore, the velocity of the wave is 7 meters per second.