Final answer:
Using the kinematic equation and the given height of 6 meters, we can calculate that the stone takes approximately 1.1 seconds to hit the ground.
Step-by-step explanation:
To determine how long it takes for the stone to hit the ground, we can use the information provided and the laws of physics. Given that a stone is dropped from a height of 6 meters, we know it is subject to Earth's gravity, which accelerates it at 9.8 m/s2 downward. Using the kinematic equation h = (1/2)gt2, where h is the height, g is the acceleration due to gravity, and t is the time in seconds, and substituting the known values, we can solve for t. The equation becomes 6 = (1/2)(9.8)t2, which simplifies to t2 = 6/(4.9) and therefore t ≈ 1.1 seconds. This result is consistent with the last choice in the provided options, indicating that the stone takes approximately 1.1 seconds to reach the ground.