A point moves in the plane xy according to the law x = at, y = at (1 - αt), where a and α are positive constants, and t is time. Find: (a) the equation of the point s trajectory y(x); plot this function; (b) the velocity v and the acceleration w of the point as functions of time; (c) the moment t0 at which the velocity vector forms an angle π/4 with the acceleration vector. Solution: |

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