The time it takes for a stone to fall from a height of 100 meters can be calculated using the laws of physics. Assuming the stone is in a vacuum (neglecting air resistance), we can use the equation for the time it takes for an object to fall freely:
t = √(2h/g)
where: t is the time in seconds, h is the height in meters, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
Plugging in the values, we have:
t = √(2 * 100 / 9.8) ≈ √(20.408) ≈ 4.52 seconds
Therefore, it takes approximately 4.52 seconds for the stone to fall from a height of 100 meters in the absence of air resistance.