Kinematics Question 342
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} $ is
Options:
A) $ \frac{1}{2} $
B) $ \frac{1}{\sqrt{3}} $
C) $ \sqrt{3} $
D) $ \frac{1}{3} $
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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} $
BETA
