To determine the height from which the stone falls, we can use the equations of motion for free fall. In this scenario, we assume that air resistance is negligible.
The relevant equation for calculating the height (h) is:
h = (v^2 - u^2) / (2g)
Where:
- v is the final velocity (60 m/s)
- u is the initial velocity (0 m/s since the stone starts from rest)
- g is the acceleration due to gravity (approximately 9.8 m/s^2 near the Earth's surface)
Plugging in the values, we get:
h = (60^2 - 0^2) / (2 * 9.8) h = 3600 / 19.6 h ≈ 183.67 meters
Therefore, the stone falls from a height of approximately 183.67 meters.