A stone is dropped from a height of 5 meters. How long will the stone be in the air?

To find out how long the stone will be in the air, we can use a formula from physics known as the time of flight formula. This formula relates the time of flight (also known as the time of free-fall) to the height from which an object is dropped.

The formula is given by:
time = √(2h/g)

where:
- time is the time of flight
- h is the initial height of the object
- g is the acceleration due to gravity, which is approximately 9.8 meters per second squared on Earth.

In this case, the initial height (h) is 5 meters. Plugging this value into the formula, we get:
time = √(2 * 5 / 9.8)

Calculating this equation, we find:
time ≈ √(1.02)
time ≈ 1.01 seconds

Therefore, the stone will be in the air for approximately 1.01 seconds.