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mechanics.md
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# Mechanics of a falling body

A short derivation of vertical motion,
from Newton’s second law to the
conservation of energy.

## Equations of motion

Gravity acts downward. A few simple
assumptions tell us how a body moves.

$$
y(t) = y_0 + v_0t - \frac{1}{2}gt^2
$$
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Physics 3 min read

Mechanics of a falling body

A short derivation of vertical motion, from Newton’s second law to the conservation of energy.

Equations of motion

Gravity acts downward. A few simple assumptions tell us how a body moves.

y(t)=y0+v0t−12gt2y(t) = y_0 + v_0t - \frac{1}{2}gt^2
The value of a derivation is not only its answer. It makes the assumptions visible.
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GlyphPublished
Physics 3 min read

Mechanics of a falling body

A short derivation of vertical motion, from Newton’s second law to the conservation of energy.

Equations of motion

Gravity acts downward. A few simple assumptions tell us how a body moves.

y(t)=y0+v0t−12gt2y(t) = y_0 + v_0t - \frac{1}{2}gt^2
The value of a derivation is not only its answer. It makes the assumptions visible.
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∫abf′(x) dx=f(b)−f(a)\int_a^b f'(x)\,dx = f(b) - f(a)

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Python
from math import sqrt

flight_time = sqrt(2 * height / gravity)
print(flight_time)

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