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24.06.2023, solved by verified expert

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the correct answer is d

Explanation:

The laws of mechanics are related

F = m a

the acceleration of the body is given by the kinematics

substituting

a = \frac{d2x}{dt^2}

Therefore, in order to obtain the force (interaction of a body), continuous curves are needed and derivable from the position and the speed, for which all change in the trajectory of a body must be smooth where smooth is understood to have until the second derived.

Consequently the correct answer is d

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