User:Boris Tsirelson/Sandbox1: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Boris Tsirelson
No edit summary
imported>Boris Tsirelson
No edit summary
Line 1: Line 1:
In [[mechanics]], coordinates of moving bodies are functions of time. For example, the classical equation for a falling body; its height at a time ''t'' is
In [[Newtonian mechanics]], coordinates of moving bodies are functions of time. For example, the classical equation for a falling body; its height at a time ''t'' is
:<math> h(t) = h_0 - \frac12 g t^2 </math>
:<math> h(t) = h_0 - \frac12 g t^2 </math>
(here ''h''<sub>0</sub> is the initial height, and ''g'' is the gravity of Earth). The height changes in time, but the function ''h'' does not.
(here ''h''<sub>0</sub> is the initial height, and ''g'' is the gravity of Earth). The height changes in time, but the function ''h'' does not.

Revision as of 16:00, 18 November 2010

In Newtonian mechanics, coordinates of moving bodies are functions of time. For example, the classical equation for a falling body; its height at a time t is

(here h0 is the initial height, and g is the gravity of Earth). The height changes in time, but the function h does not.