Question

A roof tile falls from rest from the top of a building. An observer inside the building notices that it takes 0.28 s for the tile to pass her window, which has a height of 1.0 m. How far above the top of this window is the roof?

Answer 1

Answer:0.246 m

Step-by-step explanation:

Given

height of window (h)=1 m

Time to pass window =0.28 s

Let roof is at a distance of
`h_0` above window

let t be the time to cover
`h_0`

`h_0+1=(g(t+0.28)^2)/(2)`------1

`h_0=(gt^2)/(2)`--------2

subtract 1 & 2

`1=(g(t+0.28)^2)/(2)-(gt^2)/(2)`

`1=(g)/(2)\left [ \left ( 2t+0.28\right )\left ( 0.28\right )\right ]`

t=0.224 s

`h_0=(9.8* 0.224^2)/(2)`

`h_0=0.246 m`