Kinematics

Path, time, speed
S = v*t

Uniform motion
x = x_0 + v*t

Uniformly accelerated motion: acceleration
a = (v - v0) / t

Uniformly accelerated motion: speed
v = v0 + a*t

Uniformly accelerated motion: path
s =  v*t + a*t^2/2

Uniformly accelerated motion: coordinate
x = x0 +v*t + at^2/2

Height of a body thrown vertically upward (downward)
h = h0 + v0 * t - g*t^2 / 2

Speed of a body thrown vertically upward (downward)
v = v0 - g*t

Speed, acceleration, time
v = a * t

Free-fall velocity
v = g * t

Centripetal acceleration
a = v^2 / R

Angular speed (velocity)
ω = φ / t

Uniform circular motion
l = R * φ

Uniform circular motion: linear speed
v = R * ω

Rotation period
T = t / N

Rotation period
T = 2 π R / v

Rotation period
T = 2 π / ω

Centripetal acceleration
a = 4 π^2*R / T^2

Centripetal acceleration
a = 4 π^2*R * n^2

Rotation frequency
n = 1 / T

Centripetal acceleration
a = ω^2 * R

Coordinate (range) of projectile launched at an angle
x = v0 * t *cos(α)

Flight height of projectile launched at an angle
y = v0* t * sin(α) - gt^2/2

Vertical velocity (speed) of projectile launched at an angle
v_y = v0 * sin(α) - gt

Maximum height of projectile launched at an angle
h_max = v0^2 sin(α)^2/ (2g)

Total flight time of projectile launched at an angle
t = 2 v0 * sin(α)/g

Maximum range of projectile launched at an angle
s_max = v0^2/g

Coordinate (range) of projectile launched horizontally
x = x0 + v*t

Flight height of projectile launched horizontally
y = y0 - g*t^2/2

Total flight time of projectile launched horizontally
t_max = saknis(2*h/g)