The material point is involved simultaneously in two oscillations occurring along mutually perpendicular axes according to the laws: x = 0.1sin2t; y = 0.2sin (2t p), where x and y are the corresponding coordinates of the point, t is the time in seconds. Find the equation of the trajectory of the resulting movement, the magnitude and direction of the velocity vector at the initial time. Construct a trajectory of movement (to scale).

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