a ball is dropped from an upper floor, some unknown distance above your apartment. as you look out of your window, which is 1.50 m tall, you observe that it takes the ball 0.240 s to traverse the length of the window.

Respuesta :

Height above the top of Tom's window the ball was dropped= 1.31m

Given that,

The height of window (s) = 1.50m

Time(t) = 0.240s

We have to find the height, and for this, we have to find the velocity using the equation of motion:

s = ut  + 1/2 g[tex]t^{2}[/tex]

By putting the value of h and t in the  equation

1.50 = u × 0.240 + 1/2 × 9.8 × [tex]0.240^{2}[/tex]

1.50 = u × 0.240 + 0.28224

u = (1.50 - 0.28224) / 0.240

u= 1.21776 / 0.240

u=  5.074

Now we have to calculate height by using the formula

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2gh

By putting the value of u and v we get

[tex]5.074^{2}[/tex] = 0 + 2 × 9.8 × h

h = [tex](5.074)^{2}[/tex]/ 2 × 9.8

h = 1.31 m

Therefore the height is 1.31 m above the window.

To know more about the equation of motion refer to the link given below:

https://brainly.com/question/18152494

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The complete question is:

A ball is dropped from an upper floor, some unknown distance above Tom's apartment. As he looks out of his window, which is 1..50 m tall, Tom observes that it takes the ball 0.240 s to traverse the length of the window. Determine how high ℎ above the top of Tom's window the ball was dropped. Ignore the effects of air resistance.