Question

To the captain of a ship A travelling with velocity `vecv_(A)=(3hati-4hatj)km..h`, a second ship B appears to have a velocity `(5hati+12hatj) km//h`. What is the true velocity of the ship B?
A. `2hati+16hatjkm//h`
B. `13hati+8hatjkm//h`
C. `-2hati-16hatjkm//h`
D. `8(hati+hatj) km//h`

Answer 1

Correct Answer - d
`vecv_(B)=vecv_(BA)+vecv_(A)`
`=(5hati+12hatj)+(3hati-4hatj)`
`v_(B)=8hati+8hatj`