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Old Aug 14th 2009, 04:30 AM   #1
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problem on relative velocity!

You have two objects travelling in the opposite direction. Object A travels 5m/s to the left, Object B travels 10m/s to the right. 1. What is the speed of Object A relative to Object B. 2. What is the speed of Object B relative to Object A. 3. If Object A travels at speed of light, what will be your answer in 1 and 2?
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Old Aug 14th 2009, 05:06 AM   #2
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Velocity of 1 w.r.t 2 = Velocity of 1 - Velocity of 2

Va = -5
Vb = 10

there fore va wrt b = Va - Vb = ...
vb wrt a = Vb - Va = ....

Va = speed of light..
agaion same formulae...

Note:- Please do addict to use this formulae directly, better have a physycial feel of it and use...
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Old Aug 14th 2009, 09:50 PM   #3
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3.

I believe you would have to consider realtivistic effects.

$\displaystyle V_t = \frac {V_a + V_b}{1+ \frac {V_a V_b}{c^2}} = \frac { c^2 (V_a + V_b)}{c^2 + (V_a)(V_b)}$

In which, v_t is the composity velocity, v_a is velocity from point A and v_b is velocity from B. Speed of light is represented by c.
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Last edited by Deco; Aug 14th 2009 at 09:53 PM.
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