How Long Does It Take a Stone to Fall 6 Meters?

AI Thread Summary
To determine how long it takes for a stone to fall 6 meters, the relevant physics equations need to be applied. The stone is dropped from rest, so the initial velocity (u) is zero, and acceleration (a) due to gravity is approximately 9.81 m/s². The formula x = ut + 1/2 at² can be simplified to x = 1/2 at² since u is zero. By substituting x with 6 meters and solving for t, the time of fall can be calculated. The discussion emphasizes focusing on the fall to the water, making information about the stone's behavior after impact irrelevant for this specific question.
ben-newton
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Hi,

I have just started AS Physics and I am doing mechanics at the moment. I am stuck on a question at the moment which I would like to know if someone can answer:

A stone is dropped from rest from a diving board which is 6 metres above the water surface of the pool below. After it hits the water it sinks to the bottom of the pool (which is 4m deep) at a constant velocity equal to the velocity with whcih it struck the water.

How long does it take the stone to fall from the board to the water?

For this question I need to use one of the following formulas:

V= u + at

x= ut + 1/2 at^2
v^2= u^2 + 2ax
x=t/2 (u+v)

Can anyone help me?

Please?

(^2) = squared
 
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Hi, you need to think about what you know, and what you need to find out. Write them all down, then pick an equation that only includes those things.
 
How fast is the stone traveling when it hits the water? (Clue, how deep is the water?)
 
I'll bite and give you a hint -- the information about the stone after it hits the water is useless in answering the question at hand. That information "could" be used to figure out other information about the size/mass/etc about the stone, but eliminate that info for answering this question.

Now...I always like to start problems by writing down everything I know. Vi, Vf, a, position, etc. That could help you "pick" a formula.
 
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