AP EAMCET · Maths · Differentiation
If displacement \(s=5 \sin (2 t)\), then the velocity at the end of \(\frac{\pi}{3} \mathrm{~s}\) is
- A 5
- B \(-5 \sqrt{3}\)
- C \(5 \sqrt{3}\)
- D –5
Answer & Solution
Correct Answer
(D) –5
Step-by-step Solution
Detailed explanation
\(s=5 \sin (2 t)\) differentiate w.r.t. ' \(t\) ' \[ \begin{aligned} & \frac{d s}{d t}=5 \cdot \frac{d}{d t} \sin (2 t) \\ & \frac{d s}{d t}=5 \cdot \cos (2 t) \cdot 2=10 \cdot \cos 2 t \end{aligned} \] Velocity when…
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