Posted November 09, 2011
Hey,
My apologies for the subject, but i didnt want to scare people away with something like "How good is your math" :-)
Let's move on to the exercise:
The velociraptor spots you 40 meters away and attacks,
accelerating at 4m/s^2 up to its top speed of 25 m/s.
When it spots you, you begin to flee, quickly reaching
your top speed of 6m/s. How far can you get before
you're caught and devoured.
Source: http://xkcd.com/135/
Imho the information of the top speed isn't necessary in this case, because you will be
caught before the raptor reaches 25m/s.
After 6sec the raptor has a speed of 24m/s and ran a distance of 84m (=4+8+12+16+20+24 or "\sum\limits_{k=1}^6 4k" for our latex-friends),
whereas you have only ran 36m (=6*6) plus the 40m (distance you started at) = 76m (=40+6*n)
So the solution is somewhere between 5sec and 6sec.
But there is another fact, that keeps me busy. If you replace the 40m with something
bigger (like 400m or 40km for those, who are athletically trained :p), the top speed of
the raptor will be a factor.
Anyone care to write down the solution process? :)
thx
matt
My apologies for the subject, but i didnt want to scare people away with something like "How good is your math" :-)
Let's move on to the exercise:
The velociraptor spots you 40 meters away and attacks,
accelerating at 4m/s^2 up to its top speed of 25 m/s.
When it spots you, you begin to flee, quickly reaching
your top speed of 6m/s. How far can you get before
you're caught and devoured.
Imho the information of the top speed isn't necessary in this case, because you will be
caught before the raptor reaches 25m/s.
After 6sec the raptor has a speed of 24m/s and ran a distance of 84m (=4+8+12+16+20+24 or "\sum\limits_{k=1}^6 4k" for our latex-friends),
whereas you have only ran 36m (=6*6) plus the 40m (distance you started at) = 76m (=40+6*n)
So the solution is somewhere between 5sec and 6sec.
But there is another fact, that keeps me busy. If you replace the 40m with something
bigger (like 400m or 40km for those, who are athletically trained :p), the top speed of
the raptor will be a factor.
Anyone care to write down the solution process? :)
thx
matt