A trigonometric reversal
A trigonometric reversal
5 marks
TGM Original
A particle has displacement s=3sin(2t) metres for 0 <= t <= pi/2 seconds. Find its velocity and acceleration. Find the rest time and justify whether it reverses then. Angles are in radians.
Solution:
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Answer:\(v=6\cos(2t)\ \mathrm{m\,s^{-1}},\ a=-12\sin(2t)\ \mathrm{m\,s^{-2}}\). It rests and reverses at \(t=\dfrac{\pi}{4}\) s.
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