Q1: The displacement S in m of an object from a fixed point at time t sec is given by the equation:


Question: Q1: The displacement S in m of an object from a fixed point at time t sec is given by the equation:

\[S=\frac{20}{3}{{t}^{3}}-\frac{23}{2}{{t}^{2}}+6t+5\]

a) Find the velocity and acceleration of the object at the start and when t=3 sec.

b) Find the times at which the object is at rest.

c) Determine the maximum and the minimum distance that the object is from its start point and find the distance travelled in the third second.

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