A particle moves along a straight line with its position at time ( t ) given by

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A particle moves along a straight line with its position at time ( t ) given by the equation ( s(t) = 3t3 – 12t2 + 9t + 5 ), where( s(t) ) is the position in meters and
( t ) is the time in seconds.
(a)Determine the velocity of the particle at any time ( t ). (5 marks)
(b) Find the acceleration of the particle at any time ( t ). (5 marks)
(c)At what time(s) is the particle at rest? (5 marks)
(d) Determine the total distance traveled by the particle during the first 4 seconds. (5 marks)

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