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Buses A and B are moving in the same direction with speed `20 ms^(-1)` and `15 ms^(-1)` respectively. Find the relative velcoity of A w.r.t. B and relative velocity of B w.r.t. A. |
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Answer» Let their direction of motion of bus A is `hati` then `vecv_(A)=(20m//s)hati` (a) Relative velocity of A w.r.t. B `=vecv_(AB)=vecV_(A)-vecv_(B)=` (actual velocity of A)-(velocity of B) `=(20 m//s)hati-(15m//s)hati=5m//shati` i.e. A is moving with speed `5m//s` w.r.t B in `hati` direction. (b) Relative velocity of B w.r.t `A=vecv_(BA)=vecv_(B)-vecv_(A)=` (Actual velocity of B)-(velocity of A) `=(15m//s)hati-(20 m//s)hati=(-5m//s)hati=(5m//s)(-hati)` i.e. B moving in `-hati` direction w.r.t A, at speed 5 m/s |
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