Stones thrown from different heights

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SUMMARY

The discussion focuses on determining the functional form of the vertical distance between two stones thrown from different heights and at different times. Key variables include initial velocities (v1, v2), initial heights (h1, h2), initial times (t1, t2), and acceleration due to gravity (g). The analysis involves applying equations of rectilinear motion to derive the positions of both stones over time. The final goal is to express the vertical distance as a function of time while the stones are in flight.

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  • Understanding of rectilinear motion equations
  • Familiarity with gravitational acceleration (g)
  • Knowledge of initial conditions in motion analysis
  • Basic algebra for function manipulation
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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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