A

To find the distance traveled by the block down the inclined plane as a function of time, we can use the equations of motion. As the block slides down, its motion can be described by the linear acceleration caused by gravity.
Step 1: The acceleration of the block down the incline is given by:
$$ a = g imes ext{sin}(\theta) $$
where $g$ is the acceleration due to gravity and $\theta$ is the angle of inclination.
Step 2: The distance traveled by an object starting from rest is given by the equation:
$$ s = \frac{1}{2} a t^2 $$
Step 3: Substitute the expression for acceleration into the distance formula:
$$ s = \frac{1}{2} (g \times \text{sin}(\theta)) t^2 $$
This gives us a quadratic function of time, confirming that option A is correct for the description of distance $s$ as time $t$ increases.