Free Fall

y = y_{0} + v_{0} t - \frac{1}{2} g t^{2}

Vertical motion under gravity, neglecting air resistance.

Variables

y

Height

Vertical position

m

y₀

Initial height

Starting height

m

v₀

Initial velocity

Initial vertical velocity

m/s

g

Gravitational acceleration

≈ 9.8 m/s²

m/s²

t

Time

Elapsed time

s

Derivation

Special case of kinematic equation 2 with a = -g.

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