A trigonometric acceleration condition
A trigonometric acceleration condition
5 marks
TGM Original
A particle has acceleration a=-4sin(2t) m,s-2 for 0 <= t <= pi/2 seconds, with v(0)=1 m,s-1 and s(0)=-3 m. Find its displacement and its first rest time. Angles are in radians.
Solution:
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Answer:\(s=\sin(2t)-t-3\) m; first rests at \(t=\dfrac{\pi}{6}\) s.
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