a stone is dropped into a well is heard to strike the water after 4 seconds. Find the depth of the well if the velocity of the stone is 350 metre/second
Question
A stone is dropped into a well and is heard to strike the water after 4 seconds.
Find the depth of the well if the velocity of the stone is 350 metres/second.
Solution
To find the depth of the well, we can use the equation of motion for free fall:
h = (1/2) * g * t^2
where h is the depth of the well, g is the acceleration due to gravity, and t is the time taken for the stone to strike the water.
Given that the stone takes 4 seconds to strike the water, we can substitute the values into the equation:
h = (1/2) * g * (4)^2
Now, we need to find the value of g, which is the acceleration due to gravity. On Earth, the approximate value of g is 9.8 m/s^2.
Substituting the value of g into the equation:
h = (1/2) * 9.8 * (4)^2
Simplifying the equation:
h = (1/2) * 9.8 * 16
h = 78.4 meters
Therefore, the depth of the well is approximately 78.4 meters.
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