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A motor car A is travelling with a veloc...

`A` motor car `A` is travelling with a velocity of `20m//s` in the north-west direction and another motor car `B` is travelling with a velocity of `15m//s` in the north-east directions.The magnitude of relative velocity of `B` with respect to `A` is.

A

25 m/s

B

15 m/s

C

20 m/s

D

35 m/s

Text Solution

Verified by Experts

The correct Answer is:
B

`vec V_(A) =(-20)/(sqrt(2)) hati+(20)/(sqrt(2))hatj, vec V_(B) =(15)/(sqrt(2))hati+(15)/(sqrt(2)) hatj, vec V_(AB) =vec V_(A)-vec V_(B)`
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