A particle moves along a straight line such that its displacement at any time t is given by s=(t³-6t²+3t+4) metres. The velocity when the acceleration is zero is

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(4) -9 m/s. Given: s=t³-6t²+3t+4. Idea: locate the time at which the acceleration is zero, then read the velocity there. v=(ds)/(dt)=3t²-12t+3. a=(dv)/(dt)=6t-12. Setting a=0: t=2 s. v(2)=3(4)-12(2)+3=12-24+3=-9 m/s.

A particle moves along a straight line such that its displacement at any time t is given by s=(t³-6t²+3t+4) metres. The velocity when the acceleration is zero is

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