Question: 12. The position function of a particle is given by s(t) = 2t3 - 6t2 + 37t + 1, where time, t, is in seconds,

12. The position function of a particle is given by s(t) = 2t3 - 6t2 + 37t + 1, where time, t, is

Find the velocity of the particle when the acceleration is zero. (6

12. The position function of a particle is given by s(t) = 2t3 - 6t2 + 37t + 1, where time, t, is in seconds, distance, s, is in metres, and t 2 0 . Find the velocity of the particle when the acceleration is zero. (6 marks)Thinking (10 marks) 14. Determine the equation of the tangent to y = at x = 1 (x+2)2 15. Determine the coordinates of the point on the graph of f (x) = 3x2 7x + 4 where the tangent line is parallel to the line 4x + y = 3

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