Mathematics, 30.06.2021 14:00 luis83113

The acceleration a(t) of a particle is -4a^2xi -a^2yj. The particle is initially at rest at the point (a, b). 1) show that the particle oscillates along the arc of the parabola 2ay^2 = b^2(x+a). 2) Find the velocity of the particle whenever it is at the points (a, -b) and (-a, 0).

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The acceleration a(t) of a particle is -4a^2xi -a^2yj. The particle is initially at rest at the point (a, b). 1) show that the particle oscillates along the arc of the parabola 2ay^2 = b^2(x+a). 2) Find the velocity of the particle whenever it is at the points (a, -b) and (-a, 0).​

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The acceleration a(t) of a particle is -4a^2xi -a^2yj. The particle is initially at rest at the point (a, b). 1) show that the particle oscillates along the arc of the parabola 2ay^2 = b^2(x+a). 2) Find the velocity of the particle whenever it is at the points (a, -b) and (-a, 0).