A Question 6 (1 point) Retake question 4) Listen The following wave function represents a travelling wave: y(x,t)=(7.8)/(8.7+(6.3x+5.6t)^2) What is the phase velocity? Your Answer: square square Answer units

The wave function is given by:<br /><br />y(x,t) = 7.8 / (8.7 + (6.3x + 5.6t)^2)<br /><br />This represents a wave traveling in the negative x-direction. The general form for such a wave is:<br /><br />y(x,t) = f(kx + ωt) where the phase velocity, v, is given by v = -ω/k<br /><br />In our case, we can rewrite the argument within the parenthesis as:<br /><br />6.3x + 5.6t = 6.3(x + (5.6/6.3)t)<br /><br />Comparing this to kx + ωt, we can identify:<br /><br />k = 6.3<br />ω = 5.6<br /><br />Therefore, the phase velocity is:<br /><br />v = -ω/k = -5.6/6.3 = -0.8888...<br /><br />So, the phase velocity is approximately **-0.89** units (presumably m/s or cm/s depending on the units of x and t, which aren't specified).<br />