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a person drops apple from window and it takes about 5s to reach the ground. Determine the height of the wimdow from the ground

Answer :

Answer:

122.5 m

Explanation:

Given:

Time taken by apple to reach ground (t) = 5 s

Acceleration of the apple is due to gravity (g) = 9.8 m/s²

The displacement of the apple is equal to the height of window (h) = ?

As the apple is dropped, the initial velocity is, [tex]u=0\ m/s[/tex]

Now, using Newton's equation of motion along the vertical direction that relates displacement, initial velocity, acceleration and time taken, we have:

[tex]h=ut+\frac{1}{2}gt^2[/tex]

Plug in the given values and solve for 'h'. This gives,

[tex]h=0+\frac{1}{2}\times 9.8\times 5^2\\\\h=4.9\times 25=122.5\ m[/tex]

Therefore, the height of the window above the ground is 122.5 m.

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