Question

A construction worker accidentally drops a brick from a high building. It takes the brick 2.6 s to hit the ground. How high is the building?

Answer 1

To find the height of the building, you can use the formula:

h = g * t^2 / 2

where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes for the brick to fall.

Plugging in the given values, you get:

h = 9.8 m/s^2 * 2.6 s^2 / 2 = 25.48 m

So the height of the building is approximately 25.48 meters.

It's important to note that this formula assumes that the initial velocity of the brick is zero (that is, it was dropped from rest) and that there is no air resistance. If either of these conditions is not met, the actual height of the building may be slightly different.