Task 10721.

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Task 10721.

The velocities of two bodies moving along the x axis vary according to the equations v1 = A1 B1t C1t ^ 2 and v2 = A2 B2t C2t ^ 2, where A1 = 2 m / s; B1 = 5 m / s ^ 2; A2 = 10 m / s; B2 = 1 m / s ^ 2; C1 = C2 = 0.3 m / s ^ 3. The first body starts from the point x1 = 0, and the second starts from the point x2 = 10 m. Determine the acceleration of the bodies at the moment when the first body catches up with the second.

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A detailed solution with a brief record of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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