Finding time with distance, initial velocity and acceleration

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SUMMARY

The discussion revolves around calculating the time it takes for a stone, dropped from a height, to pass a 2.0m high window while accelerating at 9.81m/s². The initial velocity (vi) of the stone when it reaches the window is established at 19.81m/s. The equation used for the calculation is d = vi*t + 0.5*a*t², leading to the conclusion that the time (t) to pass the window is 0.1 seconds. The user expresses difficulty in solving the equation correctly despite arriving at the answer.

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  • Knowledge of acceleration due to gravity (9.81m/s²)
  • Familiarity with solving quadratic equations
  • Basic concepts of initial velocity and displacement
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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=volt+1/2at^2

The Attempt at a Solution


d=volt+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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