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A boat stems in a river with velocity 2...

A boat stems in a river with velocity ` 2hati + hatj` with respecitve to the ground. The river water flows with a velocity ` -3hati - 4hatj` with respect to the ground. What is the relative velocity of boat w.r.t river water ?

Text Solution

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The correct Answer is:
`5hati + 5hatj`
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Knowledge Check

  • A boat is moving with a velocity 3 hat i+ 4hat j with respect to ground. The water in the river is moving with a velocity -3 hat i - 4 hat j with respect to ground. The relative velocity of the boat with respect to water is.

    A
    `8 hat j`
    B
    `-6 hat i - 8 hat j`
    C
    `6 hat i+ 8 hat j`
    D
    `5 sqrt(2))`

  • A boat is moving with a velocity 2i + 3j with respect to ground. The water in the river is moving with a velocity -2i - 3j with respect to ground. The relative velocity of the boat with respect to water is

    A
    4j
    B
    `-4j+6j`
    C
    4j+6j
    D
    6j

  • A boat crossing a river moves with a velocity v relative to still water. The river is flowing with a velocity v/2 with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is–

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