a stone drops from the edge of the roof. it crosses a window 2 m long in 0.1 s. how much time does the stone take to reach the lower end of window from roof.

Open in App

Solution

$L e t v b e t h e v e l o c i t y o f t h e s t o n e a t t h e u p p e r e n d . s = v t + \frac{1}{2} g t^{2} 2 = v (0.1) + 0.5 \times 10 \times 0.01 2 - 0.05 = v (0.1) 1.95 / 0.1 = v v = 19.5 m / s i n i t i a l v e l o c i t y w h e n s t o n e i s d r o p p e d i s 0 v^{2} - u^{2} = 2 g s' w h e r e s' i s t h e h e i g h t d i s \tan c e b e t w e e n t h e e d g e a n d u p p e r e n d o f t h e w i n d o w 19 . 5^{2} = 2 \times 10 \times s' s' = 19.01 m t o t a l d i s \tan c e t r a v e l l e d = 19.01 + 2 = 21.01 m t i m e t a k e n i s t 21.01 = \frac{1}{2} 10 t^{2} t = 2.04 s$

Suggest Corrections

Similar questions

Stone drops from the edge of the roof. It passes window 2m high in 0.1 sec. How far is the roof above the top of the window? $(t a k e g = 10 m / s^{2}$ )

Q. A ball is dropped from the edge of a roof. It takes

0.1 s

to cross a window of height

2.0 m

. Find the height of the roof above the top of the window.

Q. A stone is dropped from the of the roof.It passes a window 2m high 0.1s.How far is the roof above above the window? (g=10 m/s²)

Q. A stone dropped from the roof of a building takes 4 s to reach the ground. The height of the building is.

Stone-1 is dropped from the roof of a building, after 4 seconds Stone-2 is dropped from the same roof. Which of the following is/are correct?

Join BYJU'S Learning Program