Kinematics Calculator

Calculate from any of the four kinematic equations (suvat) to determine displacement, initial velocity, final velocity, acceleration or time.

Start by adding three of the known variables to calculate any of the remaining unknowns.

Equations

Equation 1 Equation 2
\begin{gather} v\ =\ u+at\\ \notag \end{gather} \begin{gather} s\ =\ ut\ +\ \frac{1}{2} \ at^{2}\\ \notag \end{gather}
Equation 3 Equation 4
\begin{gather} v^{2} =u^{2} +2as\\ \notag \end{gather} \begin{gather} s=\frac{( u\ +\ v) \ t}{2}\\ \notag \end{gather}

The equation table shows the four kinematic equations presented in the IB Databook where: s is displacement in m, u is the initial velocity in ms-1, v is the final velocity in ms-1, a is acceleration in ms-2, and t is time in s.

Select the things you know:

Select the three variables that you know. You can change this selection later if you want.

This will help you become familiar with the processes of calculating suvat equations.

Displacement (s)




Initial Velocity (u)




Final Velocity (v)




Acceleration (a)




Time (t)





Table 1: Results in SI units
Variable Amount
Displacement (s) m
Initial Velocity (u) ms-1
Final Velocity (v) ms-1
Acceleration (a) ms-2
Time (t) s
Equation(s) Used:


Table 1 provides the SI unit for either ms-1, m, or s. You can change the output accordingly and see the common unit conversions in Table 2.

Table 2: Results with common units displayed
Variable Amount
Displacement (s) m
km
mi
yd
ft
Initial Velocity (u) ms-1
kmh-1
mph
fts-1
Final Velocity (v) ms-1
kmh-1
mph
fts-1
Acceleration (a) ms-2
Time (t) s
min
hr
days

Table 2 shows the results of all the calculations and various units available with all conversions completed.