Posers and Puzzles
28 Aug 06
We are in the annual solar race in Australia and have gone 500 Km but its been cloudy so the poor solar powered racer can only manage 50 KM/hr for the first 500 Km. Then at that point, the clouds go away and the little racer can get to its top speed of 80 Km/hr. Assuming no accel time, just a jump function to make it simpler, how many Km/hr per km does the total average go up? For instance, one klick past the 500 klick mark the car has just done that one click at 80, how much has the average for the 501 Klicks gone up, then the next klick, etc. Is this a linear curve? Power curve? What is the function of the change in average velocity say summing it up for the next 500 Km where the vehicle goes 80 klicks the whole second part.
Originally posted by XanthosNZexcept it asymtotically approaches 80.
Here's the graph if the race is 5000km long. The shape after 1000km total isn't very interesting.
http://img237.imageshack.us/img237/7544/averageni5.jpg
BTW, the graph has some interesting dithering effects in it when viewed on my notebook, you see it when you tilt the screen. Is that a deliberate effect or just how that curve comes out?
Originally posted by sonhouseI thought the asymptote would be obvious to anyone with a brain. I mean really.
except it asymtotically approaches 80.
BTW, the graph has some interesting dithering effects in it when viewed on my notebook, you see it when you tilt the screen. Is that a deliberate effect or just how that curve comes out?
And yes I put extra things into the picture just to mess with you.
Originally posted by FabianFnasThe shape is hardly interesting for the first 1000 km. This is not some radically challenging curve with deep meaning and the tendencies are obvious. XNZ showed excellent social skills by not giving every bit of information. Occasionally it is nice to assume that the reader of the text is not brain dead.
Still without social skills?
EDIT: By that I mean that the reader can extrapolate their own information.
EDIT: By that I mean that the reader can read the information given and make some conclusions on their own. Especially if they are obvious.