Speed at a displacement, or displacement at a speed, from v = omega sqrt(A^2 - x^2)

1. A.
   $\sqrt{3}\,\text{cm}$
2. B.
   $6\,\text{cm}$
3. C.
   $2\sqrt{3}\,\text{cm}$
4. D.
   $2\sqrt{6}\,\text{cm}$

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1. A.
   $\frac{2\pi a}{T}$
2. B.
   $\frac{4\sqrt{2}\pi a}{3T}$
3. C.
   $\frac{4\pi^2 a}{3T}$
4. D.
   $\frac{\sqrt{3}\pi^2 a}{2T}$

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1. A.
   $\frac{\sqrt{3}A}{2}$
2. B.
   $\frac{2A}{3}$
3. C.
   $\frac{2\sqrt{2}}{3}A$
4. D.
   $\frac{\sqrt{2}}{3}A$

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1. A.
   $\frac{\pi a}{T}$
2. B.
   $\frac{3\pi^{2}a}{T}$
3. C.
   $\frac{\pi a\sqrt{3}}{T}$
4. D.
   $\frac{\pi a\sqrt{3}}{2}$

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1. A.
   $\frac{2a}{\sqrt{3}}$
2. B.
   $\frac{\sqrt{2}a}{3}$
3. C.
   $\frac{3a}{\sqrt{2}}$
4. D.
   $\frac{\sqrt{3}a}{2}$

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1. A.
   $\sqrt{0.11}\text{ }m$
2. B.
   $\sqrt{0.15}\text{ }m$
3. C.
   $\sqrt{0.17}\text{ }m$
4. D.
   $\sqrt{0.19}\text{ }m$

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1. A.
   $0.1$ m
2. B.
   $0.3$ m
3. C.
   $0.5$ m
4. D.
   $0.6$ m

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1. A.
   $\dfrac{A}{\sqrt{15}}$
2. B.
   $\dfrac{A}{4}$
3. C.
   $\dfrac{4A}{\sqrt{15}}$
4. D.
   $\dfrac{A\sqrt{15}}{4}$

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1. A.
   $\dfrac{2\pi a}{T}$
2. B.
   $\dfrac{4\pi a}{3T}$
3. C.
   $\dfrac{4\sqrt{2}\,\pi a}{3T}$
4. D.
   $\dfrac{\sqrt{3}\pi^2a}{2T}$

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1. A.
   $\dfrac{2\pi a}{T}$
2. B.
   $\dfrac{4\pi a}{3T}$
3. C.
   $\dfrac{\sqrt{3}\pi^2a}{2T}$
4. D.
   $\dfrac{4\sqrt{2}\,\pi a}{3T}$

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