It seems like you're describing the displacement of a particle along a straight line, given by the equation:

$s(t) = 2 \sin(\pi t) + 3 \cos(\pi t)$ where $s(t)$ is the displacement in centimeters, and $t$ is the time in seconds.

Would you like help solving a specific problem related to this equation? For instance, we can calculate the velocity, acceleration, or find the position at a certain time.

Let me know what you'd like to do! Here's a list of possible related questions:

1. What is the velocity of the particle at time $t$?
2. What is the acceleration of the particle at time $t$?
3. What is the maximum displacement of the particle?
4. How do we calculate the period of the motion?
5. What is the phase of the motion at a specific time?

Tip: To analyze motion equations like this one, it's useful to remember that the displacement equation is typically in the form $s(t) = A \sin(\omega t + \phi)$, where $A$ is the amplitude, $\omega$ is the angular frequency, and $\phi$ is the phase constant.