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Dog chases a rabbit problem?

Dogs on the field opening Looking straight out across the rabbit to provide. System Can adjust the rectangle. Assumptions: 1) at the origin of the rabbit and dog At one point (P, 0) to see immediately from the first rabbit. 2) a rabbit run dog run to the y-axis is always straight for the bunny. 3) per one rabbit. Questions that run the show at the same rate in the two functions The path of the graph = f (x), where y is the 'satisfaction of differential equations : XY as = Sqrt [1 + (y 'a) ^ 2] =''y la ^ ^ 2y/dx 2 (second derivative die / DX and) y 'a = die /) DX and (y' a ^ 2 = (Die / DX and) ^ 2

Time to do (X, y and) let's point at the dog. It's a rate. Therefore Time t, the rabbit) is a (0, st. The arc-length in one trip) are St = int (P X in (1 y 'a) ^ 2) DX a = - int (one blood (+ Sqrt of x), Sqrt (1 + (y 'a) ^ 2) DX (the length of this arc is official.) Straight always in order for the dog's running rabbit, y 'a = (y and - St) / (x - 0) XY the '= y and - as St. XY' = y (the man of blood int + x) and Sqrt (1 + (y 'a) ^ 2) DX As reului''+ y reulyi XY' = y 'a + Sqrt (1 + (Y 'a) ^ 2) XY the''= Sqrt (1 + (y' a) ^ 2)

 


 
By Casey Collegnon
LOS ANGELES - Day One Thursday, July 29th, 2010- Lights, Camera, Action! No, it's not a Hollywood movie but I am in Los Angeles, California. I'm Casey Collegnon, an 18-year old 2010 Esky Graduate and local dirt bike racer at Zambon's Motorpark in Bark River.

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