The components of the acceleration of a particle moving in the XY plane are aₓ = 2A; ay = 2B; where A and B are positive constants. At the instant t = 0, the particle coordinate x₀ = y₀ = 0; speed V₀ = 0. Find: a) the velocity and acceleration modules as a function of time; b) the equation of the trajectory y = f (x) of the particle, draw its graph.

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