User:Boris Tsirelson/Sandbox1: Difference between revisions
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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 | 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 | (here ''h''<sub>0</sub> is the initial height, and ''g'' is the [[acceleration due to gravity]]). The height changes in time, but the function ''h'' does not. | ||
Revision as of 15:05, 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 acceleration due to gravity). The height changes in time, but the function h does not.