Question

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

Answer 1

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Answer 2

Answer:

Velocity of boat with respect to ground is Vbg =  (3i + 4j) and the velocity of river water moving with respect to Vrg=(-3i - 4j).

Thus, to find the velocity of the boat with respect to the water will be Vbr.

So, Vbr = Vbg - Vrg.

Vbr = (3i + 4j) - (-3i - 4j).

Vbr = 6i + 8j.

So, the velocity of the boat with respect to the water will be in the form 6i + 8j.

The velocity will be V = $\sqrt{8^2+6^2}$ = 10.