A) 5
B) 5\[\sqrt{3}\]
C) \[10\sqrt{3}\]
D) 10
Correct Answer: A
Solution :
\[y=5(\sin 4\pi t+\sqrt{3}\cos 4\pi t)\] \[y=5(\sin 4\pi t+5\sqrt{3}\cos 4\pi t)\] \[A=\sqrt{A_{1}^{2}+A_{2}^{2}}\] \[A=\sqrt{{{(5)}^{2}}+{{(5\sqrt{3})}^{2}}}\] \[=\sqrt{25+75}=\sqrt{100}=10\]
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