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How many derivatives of an object's position with respect to time have to be continuous?
Can you tell me, how many derivatives of an object's position with respect to time have to be continuous?
The derivatives of an object's position with respect to time that have to be continuous depend on the situation. In general, the first derivative, velocity, needs to be continuous for the motion to be smooth. In certain cases, the second derivative, acceleration, also needs to be continuous.