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Statement of a problem № 20

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A radius vector of a particle varies with time t as r = at (1 - αt), where a is a constant vector and α is a positive factor. Find: (a) the velocity v and the acceleration w of the particle as functions of time; (b) the time interval Δt taken by the particle to return to the initial points, and the distance s covered during that time.

Solution:
A radius vector of a particle varies with time t as r = at (1 - αt), where a is

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