Kinematics Calculator
Solve two constant-acceleration motion equations from three inputs.
Calculate motion under constant acceleration
This kinematics calculator evaluates two standard one-dimensional motion equations for a constant acceleration. Initial velocity, acceleration, and elapsed time determine both final velocity and displacement from the starting position. The page leaves units open so it can support metric or other coherent systems, but every input must belong to the same system. A negative acceleration is valid and represents acceleration opposite the chosen positive direction.
With the defaults, an object starts at zero velocity, accelerates at 9.8 units per second squared, and moves for 2 seconds. Final velocity is 19.6 units per second, while displacement is 19.6 distance units. The matching values are coincidental for this particular time and acceleration; changing the duration reveals the squared-time term in the displacement equation.
Keep units and model limits visible
The calculation runs in your browser and does not store the motion inputs. It assumes one-dimensional travel and an acceleration that does not vary during the interval. Air resistance, curved paths, changing gravitational conditions, reaction delay, and measurement uncertainty are outside the model. State the coordinate direction and units alongside any result so that signs and magnitudes retain their intended physical meaning.
Frequently Asked Questions
Which motion equations are used?
Final velocity equals initial velocity plus acceleration times time, and displacement adds initial motion to one-half acceleration times time squared.
Do the inputs need consistent units?
Yes. Using meters per second, meters per second squared, and seconds produces meters for displacement.
Can this model changing acceleration?
No. The two equations on this page assume acceleration remains constant over the entire time interval.
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