Jill drops a stone down a well and hears the splash from the bottom after 2.08 seconds.
Given that sound travels at a constant speed of 327 m/s and that the acceleration due to gravity is 9.8 m/s^2, how deep is the well?
Give you answer to the nearest metre.
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First we need to write the equation for the time
t 1 + t 2 = 2 . 0 8 second
Where t 1 is equal to the time it takes for the stone to hit the bottom of the well and t 2 is equal to the time it takes for the sound to travel to Jill's ear.
From that we can use the equation
s = V o × t + 2 1 × g × t 2 to solve t
In which
t 1 will be equal to g 2 s
And t 2 will be equal to v s
Finally we get
g 2 s + v s = 2 . 0 8 second
Using algreba we find the answer = 20 meter
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S = 2 1 × g × t 2 = 3 2 7 × ( 2 . 0 8 − t )
We get t = 2.02
So S = 2 1 × g × t 2 = 2 1 × 9 . 8 × 2 . 0 2 2 = 20