Kinematics Formulas
A complete list of kinematics formulas, covering motion, displacement, velocity, acceleration, projectile motion, and the SUVAT equations.
15 formulas. Use the interactive searcher to solve for any variable and convert units.
Open the interactive searcher →Average velocity
v = Δx / Δt
v velocitym/sΔx displacementmΔt times
Average acceleration
a = Δv / Δt
a accelerationm/s²Δv change in velocitym/sΔt times
Velocity (constant a)
v = u + a·t
v final velocitym/su initial velocitym/sa accelerationm/s²t times
Displacement (suvat)
s = u·t + ½·a·t²
s displacementmu initial velocitym/sa accelerationm/s²t times
Velocity² (suvat)
v² = u² + 2·a·s
v final velocitym/su initial velocitym/sa accelerationm/s²s displacementm
Displacement (avg velocity)
s = ½·(u + v)·t
s displacementmu initial velocitym/sv final velocitym/st times
Projectile range
R = (v²·sin2θ) / g
R rangemv velocitym/sθ angleradg gravitational accelerationm/s²
Position (general)
x = x₀ + v₀·t + ½·a·t²
x positionmx₀ initial positionmv₀ initial velocitym/sa accelerationm/s²t times
Average speed
v̄ = d / t
v̄ average speedm/sd distancemt times
Relative velocity
v_AB = v_A − v_B
v_AB relative velocitym/sv_A velocitym/sv_B velocitym/s
Projectile time of flight
t = 2·v·sinθ / g
t time of flightsv velocitym/sθ angleradg gravitational accelerationm/s²
Projectile max height
H = v²·sin²θ / (2·g)
H maximum heightmv velocitym/sθ angleradg gravitational accelerationm/s²
Free fall velocity
v = g·t
v velocitym/sg gravitational accelerationm/s²t times
Free fall distance
h = ½·g·t²
h heightmg gravitational accelerationm/s²t times
Jerk
j = da / dt
j jerkm/s³a accelerationm/s²t times