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Mechanics Question? (1 Viewer)

Lalji

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Point P, Q are h metres apart in a vertical line. A particle is projected with speed C from P towards Q at the same instant, another is projected with speed C from Q towards P.

If the resistance of the medium is proportional to the speed and the terminal speed is C, show that the particles meet after time



provided .

As per upwards and downwards cases

I could get (if I am right!)
for upwards:



for downwards:



I understand



How do I use terminal velocity C to get the result?

Thanks for your help.
 

fan96

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Using your equations for time, make the subject. Integrate again to get as a function of , and then solve .

Note that .
 

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