In Landau-Lifgarbagez Classical Mech there is a statement - " Mathematically if all the coordinates 'q' and velocities 'q(adsbygoogle = window.adsbygoogle || []).push({}); dot' are given at some instant, the accelerations 'qdouble-dot' at that instant is uniquely defined" on page 1 in Chapter - Equation of Motion. "

However, I always thought infinite values of instantaneous acceleration are possible with such a knowledge of instantaneous velocities and given coordinates , how could one say that they were unique !!!

Am I wrong or have I been misinterpreting the statement ?

Thanks in advance for help :)

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# Landau Lifshitz's statement on Coordinates, velocity & acceleration

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