two cars A and B are moving along in a straight line. car A is moving at a speed of 80kmph while car B is moving at a speed 50kmph in the same direction, find the magnitude and direction of
the relative velocity of a car A with respect to B
the relative velocity of car B with respect to A

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Solution

$L e t c a r A i s a h e a d t o c a r B . V e l o c i t y o f c a r A : V_{A} = 80 k m / h V e l o c i t y o f c a r B : V_{B} = 50 k m / h 1) R e l a t i v e v e l o c i t y o f c a r A w i t h r e s p e c t t o c a r B i s V_{A B} = V_{A} - V_{B} = 80 - 50 = 30 k m / h i n a d i r e c t i o n f r o m B t o A . 2) R e l a t i v e v e l o c i t y o f c a r B w i t h r e s p e c t t o c a r A i s V_{B A} = V_{B} - V_{A} = 50 - 80 = - 30 k m / h N e g a t i v e s i g n p r e s e n t s t h a t d i r e c t i o n i s o p p o s i t e . V_{B A} i s i n t h e d i r e c t i o n F r o m A t o B .$

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two cars A and B are moving along in a straight line. car A is moving at a speed of 80kmph while car B is moving at a speed 50kmph in the same direction, find the magnitude and direction ofthe relative velocity of a car A with respect to Bthe relative velocity of car B with respect to A

two cars A and B are moving along in a straight line. car A is moving at a speed of 80kmph while car B is moving at a speed 50kmph in the same direction, find the magnitude and direction of
the relative velocity of a car A with respect to B
the relative velocity of car B with respect to A