Kinematics

Path, time, speed
S = v*t
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Uniform motion
x = x_0 + v*t
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Uniformly accelerated motion: acceleration
a = (v - v0) / t
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Uniformly accelerated motion: speed
v = v0 + a*t
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Uniformly accelerated motion: path
s =  v*t + a*t^2/2
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Uniformly accelerated motion: coordinate
x = x0 +v*t + at^2/2
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Height of a body thrown vertically upward (downward)
h = h0 + v0 * t - g*t^2 / 2
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Speed of a body thrown vertically upward (downward)
v = v0 - g*t
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Speed, acceleration, time
v = a * t
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Free-fall velocity
v = g * t
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Centripetal acceleration
a = v^2 / R
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Angular speed (velocity)
ω = φ / t
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Uniform circular motion
l = R * φ
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Uniform circular motion: linear speed
v = R * ω
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Rotation period
T = t / N
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Rotation period
T = 2 π R / v
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Rotation period
T = 2 π / ω
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Centripetal acceleration
a = 4 π^2*R / T^2
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Centripetal acceleration
a = 4 π^2*R * n^2
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Rotation frequency
n = 1 / T
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Centripetal acceleration
a = ω^2 * R
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Coordinate (range) of projectile launched at an angle
x = v0 * t *cos(α)
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Flight height of projectile launched at an angle
y = v0* t * sin(α) - gt^2/2
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Vertical velocity (speed) of projectile launched at an angle
v_y = v0 * sin(α) - gt
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Maximum height of projectile launched at an angle
h_max = v0^2 sin(α)^2/ (2g)
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Total flight time of projectile launched at an angle
t = 2 v0 * sin(α)/g
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Maximum range of projectile launched at an angle
s_max = v0^2/g
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Coordinate (range) of projectile launched horizontally
x = x0 + v*t
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Flight height of projectile launched horizontally
y = y0 - g*t^2/2
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Total flight time of projectile launched horizontally
t_max = saknis(2*h/g)
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