As you look out of your fourth floor dorm window.a flower pot suddenly falls past.The flower pot originally on a window still above passes your 2.0 m high window in 0.093s.The distance between floors in the dorm is 4.0m.From a window on which floor did the flower pot fall?
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To determine from which floor the flower pot fell, we can use the equation of motion for an object in free fall. The equation is given as:
y = ut + (1/2)gt^2
Where:
y = final displacement
u = initial velocity (which is 0 for an object in free fall)
g = acceleration due to gravity (approximately 9.8 m/s²)
t = time
In this case, the final displacement (y) is the distance between the floors, which is 4.0 m. We know the time it took for the flower pot to pass your window, which is 0.093 seconds.
Let's calculate the initial displacement (y) of the flower pot when it passes your window:
4.0 = 0 + (1/2)(9.8)(0.093)^2
Simplifying the equation, we have:
4.0 = (4.9)(0.008649)
Therefore, the flower pot must have fallen from the fifth floor since the distance of 4.0 m is the height between floors, and the fifth floor would imply a displacement of 4.0 m.
Hope this explanation helps!