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

[nikieme]

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

 

[TxRationalist]

write the equation of motion for each partile, i.e. x0+v1t, etc.
and use the distance equation sqrt(x^2 + y^2). then...

 

[nikieme]

Thank you very much. I figured it out...and then you differentiate it and put it equal to 0 and solve for t...Thanks ;-)

 

[TxRationalist]

You're very welcome, Nikieme