To calculate the height from which the stone falls, we can use the equations of motion. Assuming there is no air resistance, we can use the following equation:
v^2 = u^2 + 2as
Where:
- v is the final velocity (60 m/s in this case)
- u is the initial velocity (0 m/s since the stone falls from rest)
- a is the acceleration due to gravity (-9.8 m/s^2, assuming the stone falls on Earth)
- s is the distance or height
Rearranging the equation to solve for s, we have:
s = (v^2 - u^2) / (2a)
Plugging in the values:
s = (60^2 - 0^2) / (2 * (-9.8))
s = 3600 / (-19.6)
s ≈ -183.67 meters
The negative sign indicates that the height is below the starting point (the cliff). Therefore, the stone falls approximately 183.67 meters in height.