The material point moves in the XY plane so that the components of its velocity are equal: Vₓ-2A; Vy = 2 (1- 2Bt); where A and B are positive constants. Find: a) the velocity and acceleration modules as a function of time; b) the extreme value of the coordinate y₁ and the value of the coordinate x₁ corresponding to the same instant of time, if at the time t = 0 the coordinates of the point x₀ = y₀ = 0.

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