Kinematics Question 313
Question: A boat is moving with velocity of $ 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: [Pb. PET 2002]
Options:
A) $ -6\hat{i}-8\hat{j} $
B) $ 6\hat{i}+8\hat{j} $
C) $ 8\hat{i} $
D) $ 6\hat{i} $
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Answer:
Correct Answer: B
Solution:
The relative velocity of boat w.r.t. water $ =v _{boat}-v _{water} $
$ =(3\ \hat{i}+4\ \hat{j})-(-3\ \hat{i}-4\ \hat{j}) $
$ =6\ \hat{i}+8\ \hat{j} $