Question

How tall is the building if a stone that is initially at rest is dropped from the top of the building and it falls 7 seconds before hitting the ground?

Answer 1

To determine the height of the building, we can use the equation of motion for free fall:

h = (1/2) * g * t^2

where: h is the height of the building g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth) t is the time taken to fall (7 seconds in this case)

Plugging in the values, we get:

h = (1/2) * 9.8 m/s^2 * (7 s)^2

h = (1/2) * 9.8 m/s^2 * 49 s^2

h = 4.9 m/s^2 * 49 s^2

h = 2401 m

Therefore, the height of the building is approximately 2401 meters.