Final answer:
The rock's acceleration will remain the same at 9.8 m/s² regardless of whether it is dropped from the original height of 13 m or from half that height because the acceleration due to gravity is a constant near the surface of the Earth.
Step-by-step explanation:
If you drop a rock from a height of 13 m, it accelerates at 9.8 m/s2 and strikes the ground 1.62882 s later. The question is, if you drop the same rock from half that height, what will be its acceleration? The answer is a. the same. The acceleration due to gravity is constant near the Earth's surface and does not depend on the height from which an object is dropped. Therefore, whether you drop a rock from 13 m or from half that height, which is 6.5 m, the rock will still accelerate at 9.8 m/s2 until it hits the ground.