A wave is described by the equation y = 3sin(4t

Question

A wave is described by the equation y = 3sin(4t - 3x + 2).What is the velocity of the wave?
A)0.5 m/s
B)2.0 m/s
C)1.0 m/s
D)1.3 m/s
E)0.7 m/s

Quizplus · Accepted Answer

The general equation for a wave is y = A sin(kx - ωt), where A is the amplitude, k is the wave number, ω is the angular frequency, and t and x are the variables of time and distance, respectively. The velocity of a wave is given by the relation v = ω/k.

In the given equation, compare it with the general equation, we get:
A = 3, k = 3, and ω = 4

Thus, the velocity of the wave is given by:
v = ω/k
v = 4/3 ≈ 1.3 m/s

Therefore, the best choice is D) 1.3 m/s