Kinematics-motion in a straight line

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The discussion revolves around a physics problem involving kinematics, specifically the motion of a flowerpot as observed by a dog. The pot rises above a window 1.77m high and is visible for a total of 1 second. The calculations involve using kinematic equations to determine the pot's velocity and the height it reaches above the window. Despite attempts to solve the problem, the participant arrives at an answer of 1.91cm but is unsure about the accuracy of their calculations. The conversation highlights the importance of unit consistency in solving kinematic problems.
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Homework Statement



A dog sees a flowerpot sail up and then back past a window 5.0ft (1.77m) high. If the total time the pot is in sight is 1s, find the height above the top of the window to which the pot rises.

Homework Equations



standard set of kinematics equations are given;

V=Vo+at
V^2=Vo^2+2a(X1-X0)
X=Xo+Vot+(1/2)at^2
X=(1/2)(Vo+V)t
X=Vt-(1/2)at^2

The Attempt at a Solution



Using the last equation given above find the velocity at the top of the window

1.77=V(0.5)-(0.5)(-9.8)(0.5^2) solves for
V=1.09m/s

using equation 2 to calculate the distance traveled by the pot after passing the window

0^2=(1.09^2)+(2)(-9.8)(X) solves for
X=0.0606m

The answer is 1.91cm. I've tried other ways too, but I can't seem to come up with the solution. Please help!
 
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Carefully look at your units. You're mixing feet and meters when you eventually plug your numbers in.
 
I went through carefully but I can't find any error with my units, I don't see how this would be possible anyways as I never use any data given in feet, only meters.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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