A) \[\frac{1}{\sqrt{3}}\] m/s
B) 3 m/s
C) \[\sqrt{3}\] m/s
D) \[\frac{1}{3}\]
Correct Answer: C
Solution :
In first instant you will apply \[\upsilon =\tan \theta \] and say, \[\upsilon =\tan {{30}^{o}}=\frac{1}{\sqrt{3}}\] m/s. But it is wrong because formula \[\upsilon =\tan \theta \] is valid when angle is measured with time axis. Here angle is taken from displacement axis. So angle from time axis \[={{90}^{o}}-{{30}^{o}}={{60}^{o}}\] Now \[\upsilon =\tan \,{{60}^{o}}=\sqrt{3}\]
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