Question

A boat is moving with velocity $3\hat{i}+4\hat{j}$ in river and water is moving with a velocity of $-3\hat{i}-4\hat{j}$ with respect to ground. Relative velocity of boat with respect to water is

• A. $8\hat{i}+6\hat{j}$
• B. $8\hat{i}-6\hat{j}$
• C. $6\hat{i}+8\hat{j}$
• D. $6\hat{i}-8\hat{j}$

Answer 1

The correct option is C $6\hat{i}+8\hat{j}$

Relative velocity of boat with respect to water is
$V_{boat}-V_{water}=(3\hat{i}+4\hat{j})-(-3\hat{i}-4\hat{j})=6\hat{i}+8\hat{j}$