How this calculator works
An acceleration magnitude is the Euclidean norm of its Cartesian components. Force magnitude divided by positive mass gives the same quantity when the force is the net force. Velocity-difference mode first subtracts the two vectors, then divides by elapsed time; subtracting their speeds would miss a change in direction. This gives average acceleration over the interval, not the average of instantaneous acceleration magnitudes.
Formula
|a|=sqrt(ax^2+ay^2+az^2); |a|=|F_net|/m; a_average=(v_final-v_initial)/delta t.
Worked example
Components (3,-4) m/s2 give magnitude 5 m/s2. A 12 N net force on 3 kg gives 4 m/s2.
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Frequently asked questions
Can acceleration magnitude be negative?
No. Components can be negative, but their vector norm cannot.
Can direction change produce acceleration at constant speed?
Yes. Different velocity directions give a nonzero vector change even if speeds match.
Why can a missing component have two signs?
Squaring removes its sign, so magnitude alone cannot distinguish positive from negative.