Finding time with distance, initial velocity and acceleration

AI Thread Summary
A stone dropped from a height accelerates at 9.81 m/s² and passes a 2m high window located 20m below its drop point. The initial velocity when reaching the window is calculated to be 19.81 m/s. The equation used to find the time taken to pass the window is d = Vot + 1/2at². The user attempts to solve for time but struggles with the calculations, ultimately seeking assistance. The correct time to pass the window is determined to be 0.1 seconds.
Justin Che
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Homework Statement


A stone is dropped from the top of a tall building. It accelerates at a rate of 9.81m/s^2. How long will the stone take to pass a window that is 2.0m high, if the top of the window is 20.0m below the point from which the stone was dropped?

I've already solved the initial velocity when it reached to the window which is 19.81m/s.
So what i needed to solve now is the time when it pass the window that is 2m high.

vi=19.81m/s
d=2M
a=9.81m/s^2
t=?

Homework Equations


d=Vot+1/2at^2

The Attempt at a Solution


d=Vot+1/2at^2
2m=19.81m/s(t)+(0.5x9.81m/s^2)t^2
0.1=t+(4.9m/s2)t^2
0.02=t+t^2

The answer is 0.1s, but I am having trouble finding the right answer.
 
Last edited:
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Hi Justin Che. Welcome to Physics Forums.

You need to make an attempt before help can be given. Your relevant equation looks promising...
 
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