A ball dropped from the roof of a building take 4s to reach the street. How high is the building?

h= 1/2 g t^2

h= 1/2 g (16) solve for h.

100

To determine the height of the building, we can use the equation 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)
t is the time taken for the ball to fall (4 seconds in this case)

Plugging in the values, we can calculate the height:

h = (1/2) * 9.8 * (4^2)
h = (1/2) * 9.8 * 16
h = 4.9 * 16
h = 78.4 meters

Therefore, the height of the building is 78.4 meters.