Difference between revisions of "Talk:Parabolic Shot"
(Parabolic shot with damping forces.) |
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<math>X(t) = X_0 + \frac {V_{0x}} {b} \left(1- e^{-bt} \right)</math> | <math>X(t) = X_0 + \frac {V_{0x}} {b} \left(1- e^{-bt} \right)</math> | ||
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| + | <math>Y(t) = Y_0 + \frac {1} {b} \left( \frac {G} {b} + V_{0y} \right) \left( 1-e^{-bt}\right) - \frac {G} {b} t</math> | ||
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| + | Where: | ||
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| + | t = the current equation time | ||
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| + | b = c/m | ||
| + | |||
| + | c = the damping coefficient | ||
| + | |||
| + | m = the projectile mass | ||
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| + | G = the gravity acceleration | ||
| + | |||
| + | and <math>V_{0x}</math>, <math>V_{0y}</math>, <math>X_0</math> and <math>Y_0</math> are the initial conditions for velocity and position. | ||
Revision as of 17:01, 27 December 2007
I'm trying to implement the equations for a parabolic show with small damping forces (the ones that exists when the projectile is shot in the air)
The equations are those:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle X(t) = X_0 + \frac {V_{0x}} {b} \left(1- e^{-bt} \right)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle Y(t) = Y_0 + \frac {1} {b} \left( \frac {G} {b} + V_{0y} \right) \left( 1-e^{-bt}\right) - \frac {G} {b} t}
Where:
t = the current equation time
b = c/m
c = the damping coefficient
m = the projectile mass
G = the gravity acceleration
and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle V_{0x}} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle V_{0y}} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle X_0} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle Y_0} are the initial conditions for velocity and position.
