The solution of a vibrating spring problem is $x = 4 \cos t - 3 \sin t$ . The amplitude is
A) $7$
B) $1$
C) $25$
D) $5$
E) $- 1$

Name: The solution of a vibrating spring problem is $x = 4 \cos t - 3 \sin t$ . The amplitude is A) $7$ B) $1$ C) $25$ D) $5$ E) $- 1$
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Quizplus · Accepted Answer

The amplitude of a vibrating spring problem in the form $x = A \cos t + B \sin t$ is given by $\sqrt{A^2 + B^2}$. Here, $A = 4$ and $B = -3$, so the amplitude is $\sqrt{4^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5$.

The Solution of a Vibrating Spring Problem Is x=4cos⁡t−3sin⁡tx = 4 \cos t - 3 \sin tx=4cost−3sint

The Solution of a Vibrating Spring Problem Is $x = 4 \cos t - 3 \sin t$