CBSE Class 11-science Answered
A ship X is moving due North with Speed v observed that another ship Y is moving due West with same speed v. The actual velocity of Y is?
Asked by omku415 | 22 Aug, 2019, 08:40: PM
Expert Answer
Let the velocity of ship Y, vY = a i + b j ........................(1)
where i is unit vector in +ve x direction or pointing towards East ,
j is unit vector in +ve y direction or pointing towards North .
Velocity of ship X , vx = v j .........................(2)
Relative velocity of ship Y with respect to X , v = a i + (b-v) j = -v i .....................(3)
From eqn.(3) by comparing both sides, we get a = -v and b = v
Hence velocity of ship Y , vy = -v i + v j
Hence ship Y is moving in NW direction with magnitude of velocity √2v
Answered by Thiyagarajan K | 22 Aug, 2019, 10:30: PM
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