Created
November 30, 2016 08:18
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The Tortoise and the Rabbit
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distance = 42.195 | |
turtleSpeed = 8 | |
turtleTime = distance / turtleSpeed | |
rabbitSpeed = 70 | |
rabbitTime = distance / rabbitSpeed | |
sleepTime = turtleTime - rabbitTime | |
step = rabbitTime/20 | |
x11 = seq(0,rabbitTime/2,step) | |
x12 = seq(rabbitTime/2+step, rabbitTime/2+sleepTime, step) | |
x13 = seq(rabbitTime/2+sleepTime+step,turtleTime,step) | |
x1 = c(x11, x12, x13) | |
y1 = c( | |
rabbitSpeed * x11, | |
(distance / 2) + 0 * x12, | |
(distance / 2) + rabbitSpeed * (x13 - rabbitTime/2 - sleepTime) | |
) | |
plot(x1, y1, | |
type='l', | |
col='#D862A5', | |
lwd=4, | |
xlab = 'Time (hours)', | |
ylab = 'Distance (km)', | |
main = 'The Tortoise and the Hare' | |
) | |
rabbitSpeed = 40 | |
rabbitTime = distance / rabbitSpeed | |
sleepTime = turtleTime - rabbitTime | |
x11 = seq(0,rabbitTime/2,step) | |
x12 = seq(rabbitTime/2+step, rabbitTime/2+sleepTime, step) | |
x13 = seq(rabbitTime/2+sleepTime+step,turtleTime,step) | |
x1 = c(x11, x12, x13) | |
y1 = c( | |
rabbitSpeed * x11, | |
(distance / 2) + 0 * x12, | |
(distance / 2) + rabbitSpeed * (x13 - rabbitTime/2 - sleepTime) | |
) | |
lines(x1, y1, type='l', col='#D862A5', lwd=2) | |
x2 = seq(0,turtleTime,step) | |
y2 = turtleSpeed * x2 | |
lines(x2, y2, type='l', lwd=4, col='#26B65F') |
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