The equation y=5sin(3x-4)where y is in millimeters x is in metres and t is in seconds,represents a wave motion

could be, but I think there should be a t in there somewhere.

Pls the answer

To understand how the equation y=5sin(3x-4) represents a wave motion, let's break it down.

In this equation, y represents the displacement (or amplitude) of the wave at a given point. The value of y will vary based on the inputs of the equation.

The function sin(3x-4) represents the sinusoidal nature of the wave. The argument within the sine function, (3x-4), determines the frequency and phase of the wave.

The term 3x represents the spatial aspect of the wave. In this case, x represents the position along the wave in meters. The coefficient of 3 determines the spatial frequency of the wave. A higher coefficient value would result in more oscillations per unit length, representing a higher frequency wave.

The term -4 represents the phase shift of the wave. It indicates that the wave is shifted horizontally (to the right) by 4 meters. This is useful for describing the initial position of the wave.

Multiplying the sinusoidal function by a constant, 5 in this case, scales the amplitude of the wave. It determines how high or low the wave reaches vertically.

Combining these components, the equation y=5sin(3x-4) describes a wave motion where the displacement (y) varies sinusoidally in millimeters based on the position (x) along the wave in meters. The wave's frequency is determined by the coefficient of 3, and the amplitude is scaled by a factor of 5. The phase shift of -4 meters indicates the initial position of the wave.