How to Solve for Distance and Time in a Two-System Motion Problem

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SUMMARY

The discussion focuses on solving a two-system motion problem involving a pack of hounds running at 23.0 m/s and a mechanical rabbit moving at 6.0 m/s, with the hounds starting 66.0 m behind. The key formula used is X = Xi + Vt, which allows for the establishment of equations for both the hounds and the rabbit. By setting the two position equations equal, users can determine the time it takes for the hounds to catch the rabbit and the distance traveled by the rabbit before being overtaken.

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Homework Statement



a pack of hounds running at 23.0m/s is 66.0m behind a mechanical rabbit, itself sailing along at 6.0m/s.

Homework Equations

a) how long will it take before the rabbit is caught? b) how far will it travel before being over taken?



The Attempt at a Solution


I can't even figure out where to start. I tried Vit + 1/2 At2-x . I just can't figure how to set this up.
 
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Both hounds and rabbit are moving at constant speed so there's no acceleration to worry about. The key formula is X = Xi + Vt.

Write expressions (using the formula above) for the position of hounds and rabbit, then solve them together to find the time.
 
OK. So you have two different systems here, the pack of dogs and the rabbit. They are both moving at different rates and you want to know when they are at the same place.

Can you give me an equation that describes the motion of the rabbit? the pack? If you can you would have two equations both in terms of position and time. Then you have two equations and two unknowns, you should be able to solve for both.

EDIT: You beat me to it Doc Al!
 

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