Solve Drowsy Cat Flower Pot Height Question

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AI Thread Summary
The discussion revolves around a physics problem involving a flower pot's motion as it passes a window. The pot is visible for 0.5 seconds while descending through a 2-meter tall window. The user initially misinterprets the problem, calculating the initial velocity and height incorrectly. Upon realizing the importance of the total viewing time, they acknowledge that the correct height above the window is 2.34 meters, as stated in the textbook. The conversation highlights the significance of careful reading in problem-solving.
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Homework Statement


A drowsy cat spots a flower pot that sails first up the window, and then down past an open window. The pot is in view for a total of 0.5s, and top to bottom height of the window is 2 m. How high above the window top does the flower pot go?


Homework Equations


Using kinematics equations:
h = v.t + 0.5*a*t^2
v[f]-v = at
or, 2h/t = v[f]+v

The Attempt at a Solution


I assumed that it is going down, while it was viewed.
so, here's my diagram:

0
^|
^|
^s
^|
^|
v
^|
^|
^2 m, 0.5 s
^|
v[f]

(motion is opposite to the direction indicated by the carrot symbols)

so using those equations I get
v = 1.5475 m/s

and as 2as = v^2

so s = 0.122 m

but the answer at the back of the book is 2.34 m ><
 
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