The equation for the movement of a point along a straight line has the form: x=5-2t^3 t^6 (m). Find: the path and movement of a point over a period of time from 0 s to 2 s; average speed and average acceleration of a point for this interval; speed and acceleration of a point at time 2 s.

A detailed solution with a brief note of the condition, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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