How to use this calculator
The constant-acceleration equations connect initial velocity, final velocity, acceleration, time, and displacement. Select the three known quantities, use a consistent sign convention, and let the calculator solve the remaining values. A displacement-time graph helps reveal whether the motion changes direction.
The method
Enter the values in the labeled fields, check the units or selected mode, and choose Calculate. The result includes the applicable working and a breakdown or visual when useful. Change an input and calculate again to update the result.
Known quantities: Initial velocity, acceleration, time Initial velocity u (m/s): 0 Acceleration a (m/s^2): 2 Time t (seconds): 5
Displacement: 25 m
One-dimensional motion at constant acceleration.
Scope and limitations
One-dimensional motion with constant acceleration. Time must be nonnegative. Degenerate inputs that cannot determine a unique result are rejected. The output is displacement, not total distance traveled.
Common questions
Can velocity or acceleration be negative?
Yes. Negative signs represent direction relative to your chosen positive axis.
Why is displacement different from distance?
Displacement is the signed change in position. Distance counts the entire path, including any movement that later reverses.
References & further reading
External references provide background, not an endorsement of this implementation. See our methodology for numerical conventions and limitations.