Kinematics Question 323

Question: A boat is moving with a velocity $ 3\hat{i}+4\hat{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 [CPMT 1998]

Options:

A) $ 8\hat{j} $

B) $ -6\hat{i} - 8\hat{j} $

C) $ 6\hat{i}+8\hat{j} $

D) $ 5\sqrt{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

Relative velocity $ =( 3\hat{i}+4\hat{j} )( 3\hat{i}4\hat{j} )=6\hat{i}+8\hat{j} $