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Statement of a problem № 41

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A point moves in the plane so that its tangential acceleration wτ = a, and its normal acceleration wn = bt4, where a and b are positive constants, and t is time. At the moment t = 0 the point was at rest. Find how the curvature radius R of the point s trajectory and the total acceleration w depend on the distance covered s.

Solution:
A point moves in the plane so that its tangential acceleration wτ = a, and its

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