Question

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 1

122.5 m

Step-by-step 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,
`u=0\ m/s`

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

`h=ut+(1)/(2)gt^2`

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

`h=0+(1)/(2)* 9.8* 5^2\\\\h=4.9* 25=122.5\ m`

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