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Suppose two cars A and B are moving with...

Suppose two cars A and B are moving with uniform velocities with respect to ground along parallel tracks and in the same direction. Let the velocities of A and B be `35kmh^(-1)` due east and `40kmh^(-1)` due east respectively. What is the relative velocity of car B with respect to A?

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The relative velocity of B with respect to `vecv_(BA)=vecv_(B)-vecv_(A)=5kmh^(-1)` due east Similarly, the relative velocity of A with respect to Bi.e., `vecv_(AB)=vecv_(A)-vecv_(B)=5kmh^(-1)` due west. To a passenger in the car A, the car B will appear to be moving cast with a velocity `5kmh^(-1)` To a passenger in: car B, the car A will appear to move westwards with a velocity of `5kmh^(-1)`.
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