Physics Calculators

Solve motion problems involving constant acceleration in one dimension, a straight line, with the kinematic equations. Individual equations of motion can be selected from below.

Displacement as a function of average velocity and time

\( s = \overline{v}t \)

Average Velocity as a function of final and initial velocities

\( \overline{v} = \dfrac{1}{2}(v + u)\)

Displacement as a function of final and initial velocities and time

Combining the two previous equations.

\( s = \dfrac{1}{2}(v + u)t \)

Final Velocity as a function of initial velocity, acceleration and time

\( v = u + at \)

Final Velocity as a function of initial velocity, acceleration and displacement

\( v^2 = u^2 + 2as \)

Displacement as a function of initial velocity, acceleration and time

\( s = ut + \dfrac{1}{2}at^2 \)

Average Acceleration Equation

Average Acceleration as a change in velocity during a change in time

\( \overline{a} = \dfrac{\Delta v}{\Delta t} = \dfrac{v_f - v_i}{t_f - t_i}\)

Average Velocity Equation

Average Velocity as displacement during a change in time

\( \overline{v} = \dfrac{\Delta x}{\Delta t} = \dfrac{x_f - x_i}{t_f - t_i}\)

Percent Error Calculator

Calculate the percent error of the Experimental (measured) value to the Theoretical (actual) value, or

\[ \text{Percent Error} = \dfrac{| E-T |}{| T |}\times100 \]