Determining the Height of a Building

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The problem involves calculating the height of a building based on the time a ball spends in front of a window and its motion under gravity. The ball takes 0.30 seconds to pass the window, which is 1.50 meters tall, and spends a total of 2.50 seconds below the window before hitting the sidewalk. To solve the problem, the distance to the top of the window must first be determined, considering the time the ball falls and the equations of motion under constant acceleration. The acceleration due to gravity can be used to find the total time the ball takes to reach the ground. The discussion emphasizes the need to express the motion in equations to find the building's height accurately.
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Homework Statement


You are sitting by a window when someone on the roof drops a ball. The ball spends .30 seconds in front of the window (which is 1.50 meters tall.) The ball subsequently hits the sidewalk and bounces back up at the same speed. On its way up it passes by the window again taking .30 seconds in front of the window. If the ball spends 2.50 seconds underneath the window then how tall is the building?


Homework Equations


\Delta x = v_{0}t+(1/2)at^{2}


The Attempt at a Solution


I have absolutely no idea how to approach this problem. I would appreciate any help.
 
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Hint: Try to find the distance d to the top first. After falling an unknown time t (without initial velocity), the ball has fallen a distance of d and reaches the top of the window. 0.3 seconds later the distance of the ball increased by 1.5 m. Try to express that with equations and solve them for d and t.
Afterwards, try to find the total time the ball needs to reach the floor.

You can assume that the building is on earth, so you know the acceleration.
 
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