A particle is moving along a horizontal line with a position function g(t) = 2t ^ 3

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Question:

A particle is moving along a horizontal line with a position function g(t) = 2t ^ 3 + 3t ^ 2 - 12t + 4 on [-4, 2].
Determine the absolute maximum and absolute minimum of g (t).

b) Given that the displacement in metres of a moving particle is given by (7 m
g(t) = 2t ^ 3 - 14t ^ 2 - 22t - 5 , t >= 0
Find
i.Velocity of the particle at t = 4 seconds.

ii. Acceleration of the particle at t = 2 seconds.