TS EAMCET · Physics · Oscillations
If the displacement of a body is given by \(x=3 \cos \left[2 \pi t+\frac{\pi}{4}\right] \mathrm{m}\), then the acceleration of the body at \(t=2 \mathrm{~s}\) is
- A 0
- B \(-6 \sqrt{2} \pi^2 \mathrm{~m} / \mathrm{s}^2\)
- C \(-10 \pi^2 \mathrm{~m} / \mathrm{s}^2\)
- D \(-12 \sqrt{2} \pi^2 \mathrm{~m} / \mathrm{s}^2\)
Answer & Solution
Correct Answer
(B) \(-6 \sqrt{2} \pi^2 \mathrm{~m} / \mathrm{s}^2\)
Step-by-step Solution
Detailed explanation
Displacement of a body is given by \[ x=3 \cos \left[2 \pi t+\frac{\pi}{4}\right] \mathrm{m} \] velocity of body is given by \(v=\frac{d x}{d t}\)…
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