Game Development Reference
In-Depth Information
Figure 11.1
Plot of position versus time during the race between the tortoise and the hare
overconfident and distracted. He stops during the race to take a nap, smell
the flowers, or some other form of lollygagging. Meanwhile, the tortoise
plods along, eventually passing the hare and crossing the finish line first.
Now this is a math book and not a self-help book, so please ignore the
moral lessons about focus and perseverance that the story contains, and
instead consider what it has to teach us about average velocity. Examine
Figure 11.1, which shows a plot of the position of each animal over time.
A play-by-play of the race is as follows. The gun goes off at time t 0 ,
and the hare sprints ahead to time t 1 . At this point his hubris causes him
to slow his pace, until time t 2 when a cute female passes by in the opposite
direction. (Her position over time is not depicted in the diagram.) At this
point a different tragic male trait causes the hare to turn around and walk
 
Search WWH ::




Custom Search