Question: A particle moves along the plane trajectory y (x) with velocity v whose modulus is constant. Find the acceleration of the particle at the point

A particle moves along the plane trajectory y (x) with velocity v whose modulus is constant. Find the acceleration of the particle at the point x = 0 and the curvature radius of the trajectory at that point if the trajectory has the form (a) Of a parabola y = ax2;
(b) Of an ellipse (x/a)2 + (y/b)2 = 1; α and b are constants here.

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a Let us differentiate twice the path equation y x with respect to time dx a dt dy dt We get 2 ax dx ... View full answer

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