Mechanics
Free Fall
Vertical motion under gravity, neglecting air resistance.
Variables
ym
Height
Vertical position
y₀m
Initial height
Starting height
v₀m/s
Initial velocity
Initial vertical velocity
gm/s²
Gravitational acceleration
≈ 9.8 m/s²
ts
Time
Elapsed time
Derivation
Special case of kinematic equation 2 with a = -g.
Your notes
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Common questions
What is the Free Fall formula?
Free Fall is written y = y₀ + v₀ t - 1/2gt². Vertical motion under gravity, neglecting air resistance. It belongs to Mechanics, under Kinematics.
What are the units in y = y₀ + v₀ t - 1/2gt²?
In SI units, y is height, measured in m; y₀ is initial height, measured in m; v₀ is initial velocity, measured in m/s; g is gravitational acceleration, measured in m/s²; t is time, measured in s.
How is the Free Fall formula derived?
Special case of kinematic equation 2 with a = -g. The result is y = y₀ + v₀ t - 1/2gt².