The point moves in the plane so that its movement is described by the equations x=2t2; y=2-2t. Find the path traveled by a material point in 0.5 seconds; speed modulus at that point in time. Write down the equation of the trajectory of the material point; radius vector equations; velocity vector and acceleration vector.

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.