Difference between revisions of "Talk:Parabolic Shot"

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(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
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c = the damping coefficient
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m = the projectile mass
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G = the gravity acceleration
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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.