A particle reverses direction
A particle reverses direction
9 marks
TGM Original
A particle moves on a straight line with v=3t2-12t+9 m/s, for 0 <= t 4. Its initial displacement is 2 m. Find its acceleration and displacement functions, the times at which it reverses direction, its total distance and its average speed over the four seconds.
Solution:
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Answer:\(a=6t-12;\ s=t^3-6t^2+9t+2;\ t=1,3;\ 12\text{ m};\ 3\text{ m/s}\)
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