Relative velocity of 2 vehicles

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SUMMARY

The discussion centers on calculating the relative velocity of two vehicles, A and B, where Vehicle A travels at 85 km/h north-east and Vehicle B at 104 km/h directly east. The correct formula to determine the relative velocity is aVb = Va - Vb. Participants express confusion regarding the direction of Vehicle B and its implications in the calculation. Clarifications reveal that the direction of the velocities must be accurately represented in the equation to avoid misunderstandings.

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  • Familiarity with the concept of relative velocity
  • Basic knowledge of trigonometry for direction calculations
  • Proficiency in using velocity equations
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Aashish Bharat
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Two vehicles leave simultaneously from a fork in a road. Vehicle A travels at a velocity of 85 km/h north-east. Vehicle B travels at 104 km/h directly east. Calculate the velocity of vehicle A relative to the velocity of vehicle B.

Answer (from memorandum): http://imgur.com/a/L0prH

I do not understand why is Vehicle B traveling west, an explanation on how why this was done would be appreciated!

aVb = Va - Vb (Velocity of A relative to velocity of B) when do you use this equation?
 
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If you are in a car and get overtaken by another car, then relative to the faster car you are going backwards. Not so?
 
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PeroK said:
If you are in a car and get overtaken by another car, then relative to the faster car you are going backwards. Not so?
Damn it, they took the opposite direction of Vb from the equation aVb = Va - Vb. I should have known better
 

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