Answer:
Explanation:
To determine the time it takes for the rock to hit the water, we can use the equation of motion for free fall:
[ h = \frac{1}{2}gt^2 ]
Where:
( h ) is the height (12.0 meters in this case)
( g ) is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
( t ) is the time we want to calculate
Rearranging the equation to solve for ( t ), we have:
[ t = \sqrt{\frac{2h}{g}} ]
Substituting the given values, we can calculate the time:
[ t = \sqrt{\frac{2 \times 12.0}{9.8}} \approx 1.22 \text{ seconds} ]
Therefore, it takes approximately 1.22 seconds for the rock to hit the water.