How Do You Calculate the Closest Point of Approach for Two Moving Objects?

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Homework Help Overview

The problem involves two objects moving towards each other, with one moving along the x-axis and the other along the y-axis. The goal is to determine the time it takes for these objects to reach their minimum distance apart.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem and requests guidance on relevant formulas. One participant suggests writing the equations of motion for each object and using the distance formula. Another participant mentions differentiating the distance function to find the minimum distance.

Discussion Status

The discussion has progressed with some participants providing guidance on how to approach the problem. The original poster has indicated that they found a way to proceed by differentiating the distance equation, but there is no explicit consensus on the method or final solution.

Contextual Notes

The original poster notes that they are new to the forum and are open to feedback on their post. This context may influence the level of detail and clarity in the responses provided.

nikieme
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Homework Statement


Two objects 1 and 2 are moving towards each other, 1 along the x-axis and the 2 along the y axis. Initially, object 1 is at (- 28.9,0) (in m) moving at speed v 1 = 13.7 m/s, while 2 is at (0.-36.8) (in m) moving at speed v 2 = 7.5 m/s. How long does it take until the objects are at the minimum distance from each other? (give your answer in s)


Homework Equations


I just don't know where to start from... like all i need is a hit or formula. I have no clue how to find the closest poing of approach.


The Attempt at a Solution




*Btw i am new to the forum and this is the first time i am posting something. So, if i make any errors, kindly tell me.

Regards,
Nihant
 
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write the equation of motion for each partile, i.e. x0+v1t, etc.
and use the distance equation sqrt(x^2 + y^2). then...
 
Thank you very much. I figured it out...and then you differentiate it and put it equal to 0 and solve for t...Thanks ;-)
 
You're very welcome, Nikieme
 

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