Motion (kinematics) formulas
The kinematics formulas from physics and mechanics courses: speed, distance and time, the four constant-acceleration equations (often called SUVAT after the letters s, u, v, a, t), and the range of a projectile. Units are SI: metres, seconds, metres per second and m/s². Where gravity appears it is g = 9.81 m/s², the standard value near the Earth's surface. Air resistance is ignored throughout.
Speed, distance and time
Average speed is distance travelled divided by the time it took.
Final velocity: v = u + at
The velocity after accelerating steadily at a for time t, starting from velocity u.
Displacement: s = ut + ½at²
How far an object moves in time t when it starts at velocity u and accelerates steadily at a.
Velocity and displacement: v² = u² + 2as
Links speeds and distance under constant acceleration, without needing the time.
Displacement from average velocity
With constant acceleration, displacement is the average of the start and end velocities times the time.
Projectile range
How far a projectile travels on level ground, from its launch speed and angle.