Kinematics Question 342

Question: The displacement-time graphs of two particles A and B are straight lines making angles of $ 30{}^\circ $ and $ 60{}^\circ $ respectively with the time axis. If the velocity of a is $ v _{A} $ and that of b is $ v _{B} $ , the value of $ v _{A}/v _{B} $ it’s

Options:

A) $ \frac{1}{2} $

B) $ \frac{1}{\sqrt{3}} $

C) $ \sqrt{3} $

D) $ \frac{1}{3} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ v _{A}=tan30{}^\circ $ and $ v _{B}=tan60{}^\circ $
$ \therefore \frac{V _{A}}{V _{B}}=\frac{\tan 30{}^\circ }{\tan 60{}^\circ }=\frac{1/\sqrt{3}}{\sqrt{3}}=\frac{1}{3} $



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