Answer:
1.54 m
Explanation:
The time the cat sees the pot going up will be half of the total time the cat saw the pot. The same is true for the pot going down.
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.81 m/s²
[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.84-\frac{1}{2}\times -9.81\times 0.27^2}{0.27}\\\Rightarrow u=8.14\ m/s[/tex]
[tex]v=u+at\\\Rightarrow v=8.14-9.81\times 0.27\\\Rightarrow v=5.5\ m/s[/tex]
This will be the initial velocity while going up higher
[tex]v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-5.5^2}{2\times -9.81}\\\Rightarrow s=1.54\ m[/tex]
The the flower pot will go 1.54 m above the window
