Passing the origin while moving
Passing the origin while moving
7 marks
TGM Original
A particle has displacement s=t3-6t2+8t metres for 0 <= t 4 seconds. Find the times after starting when it passes the origin and its velocities then. Find its rest times and explain why passing the origin does not imply rest.
Solution:
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Answer:It passes the origin at \(t=2,4\) s with velocities \(-4,8\ \mathrm{m\,s^{-1}}\), respectively. Rest occurs at \(t=2\pm\dfrac{2\sqrt3}{3}\) s; origin concerns position, while rest concerns velocity.
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