To determine how long it will take for a stone to hit the ground when dropped from a height of 40 meters, we can use a basic equation of motion. Assuming there is no air resistance, we can apply the laws of free fall.
The relevant equation is:
h = (1/2)gt^2
Where: h = height (in this case, 40 meters) g = acceleration due to gravity (approximately 9.8 m/s^2) t = time
Rearranging the equation to solve for time, we have:
t = sqrt(2h/g)
Plugging in the values:
t = sqrt(2 * 40 / 9.8) ≈ 2.02 seconds
Therefore, it will take approximately 2.02 seconds for the stone to hit the ground when dropped from a height of 40 meters, assuming no air resistance.