Water drops fall from the edge of a roof at a steady rate. a fifth drop starts to fall just as the first drop hits the ground. at this instant, the second and third drops are exactly at the bottom and top edges of a 1.00-m-tall window. how high is the edge of the roof?

The height of the roof is 3.57m

Let the drops fall at a rate of 1 drop per t seconds. The first drop takes 5t seconds to reach the ground. The second drop takes 4t seconds to reach the bottom of the 1.00 m window, while the 3rd drop takes 3t s to reach the top of the window.

Calculate the distances traveled by the second and the third drops s₂ and s₃, which start from rest from the roof of the building.

The length of the window s is given by,

The first drop is at the bottom and it takes 5t seconds to reach down.

The height of the roof h is the distance traveled by the first drop and is given by,

the height of the roof is 3.57 m