1. The problem asks for the equation of sinusoidal motion. 2. Sinusoidal motion is typically described by a sine or cosine function representing oscillations. 3. The general form of the sinusoidal motion equation is: $$x(t) = A \sin(\omega t + \phi)$$ where: - $x(t)$ is the displacement at time $t$, - $A$ is the amplitude (maximum displacement), - $\omega$ is the angular frequency (how fast it oscillates), - $\phi$ is the phase shift (initial angle at $t=0$). 4. Alternatively, it can be written using cosine: $$x(t) = A \cos(\omega t + \phi)$$ 5. This equation models periodic motion such as springs, pendulums, and waves. 6. To summarize, the sinusoidal motion equation is: $$x(t) = A \sin(\omega t + \phi)$$ which fully describes the oscillatory behavior.