Stones thrown from different heights

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To find the vertical distance between two stones thrown from different heights and at different times, it is essential to establish their individual positions using the equations of rectilinear motion. Each stone's position can be determined by its initial velocity, height, and the acceleration due to gravity. The problem emphasizes that numerical values are not necessary for this analysis, as the focus is on understanding the functional relationship between the stones' positions over time. By calculating the positions of both stones, the vertical distance can be expressed as a function of time. This approach allows for a conceptual understanding of the motion involved.
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Homework Statement


Two stones are thrown from different heights and at different times. While they are still in flight ,find the functional form of the vertical distance between them as a function of time


Homework Equations



? How do you do this, there are no numbers given I am very confused ...
 
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Really, it is not all that difficult.
You do not need number values.
In fact when a system is first being analyzed or designed nobody has any numbers. It is best to first find out what is important, and that is what this problem is about.

stone 1 ( or a , or zamba or whatever you want to call it )
Initial velocity v1
initial height h1
initial time t1
acceleration a = g ( gravity )

Now using these values, and an equation of rectiliner motion, you can find stone1 position.

Stone 2
Initial velocity v2
initial height h2
initial time t2
acceleration a = g ( gravity )

Now using these values, and an equation of rectiliner motion, you can find stone2 position.

Then, I leave it up to you to figure out what the question asks "While they are still in flight ,find the functional form of the vertical distance between them as a function of time".
 
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