File:BaseballProjectileGraph.svg
Original file (SVG file, nominally 1,000 × 1,000 pixels, file size: 7 KB)
Summary
Created myself to replace existing image using Gnuplot:
# http://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles#SVG
set terminal svg enhanced size 1000 1000 fname "Times" fsize 36
- Sensible ranges
set yrange [-10:60]
set xrange [0:250]
- "ground"
set xzeroaxis lt -1
- Constants given in the article.
g=9.81
vt=33.0
v0=44.7
m=0.145
k=(m*g)/vt
theta=pi/4 # 45 deg.
- Some stuff not included in gnuplot 4.0-0.
e=2.71828183 #euler's constant
ln(q)=log(q)/log(e)
- Work out the time from the x coord (rearrangement by Derive).
tfromx(x)=-m*ln((m*v0*cos(theta)-k*x)/(m*v0*cos(theta)))/k
- Colours as article.
set style line 1 lt 2
set style line 2 lt 1
- Equation without air-resistance.
na(x)=x*tan(theta) - g*x**2/(2*(v0*cos(theta))**2)
- Equation with air-resistance.
ar(x)=(m*v0*sin(theta)/k)*(1-e**(-k*tfromx(x)/m)) - (m**2*g/k**2)*(e**(-k*tfromx(x)/m) + k*tfromx(x)/m - 1)
- Go!
plot na(x) ti "Without air-resistance", ar(x) ti "With air-resistance"
Licensing
 | I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. If this is not legally possible: |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:08, 27 November 2006 | | 1,000 × 1,000 (7 KB) | FauxFaux (talk | contribs) | Created myself to replace existing image using Gnuplot: <code># http://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles#SVG set terminal svg enhanced size 1000 1000 fname "Times" fsize 36 # Sensible ranges set yrange [-10:6 |
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