How did your post get eaten by a raptor?

  • Thread starter sutupidmath
  • Start date
In summary, the raptor's x and y positions are represented by X = 12(sqrt2) t_x and Y = 12(sqrt2) t_y, while the person's x and y positions are represented by x = 5(sqrt2) (t+3) and y = 5(sqrt2) (t+3). In order for the raptor to catch the person, the values for t_x and t_y must be equal. Solving for the time variable T, it takes the raptor 15 seconds to catch the person. This is because the person is on the line x=y and the raptor starts at the origin. If the raptor's speed is 15sqrt{2}m/s
  • #1
sutupidmath
1,630
4
...got it...

Thnx though!
 
Last edited:
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  • #2
Check this out.

x: person's x position
y: person's y position
X: raptor's x position
Y: raptor's y position

x = 5(sqrt2) (t+3)
y = 5(sqrt2) (t+3)

X = 12(sqrt2) t_x
Y = 12(sqrt2) t_y

If the raptor wants to catch you, t_x must equal t_y... because the person is on the line x=y and the raptor starts at the origin. So t_x equals t_y equals t.

Let T represent the time the raptor catches you (with t = 0 being when the raptor starts running). Then we must have that

5(sqrt2)(T+3) = 12(sqrt2)(T/2)

The equation is the same for y.

Solving for T...

5T + 15 = 6T

T = 15.

So it takes the raptor 15 seconds to catch the dude.

It can't very well be 1.5 s, can it? The raptor has only moved 22.5(sqrt2) = 32 total, while the person has moved 45 total. Even if the raptor was chasing the guy directly, he wouldn't catch him.
 
  • #3
csprof2000 said:
Check this out.



X = 12(sqrt2) t_x
Y = 12(sqrt2) t_y



T = 15.

So it takes the raptor 15 seconds to catch the dude.

It can't very well be 1.5 s, can it? The raptor has only moved 22.5(sqrt2) = 32 total, while the person has moved 45 total. Even if the raptor was chasing the guy directly, he wouldn't catch him.

Comparing my solution with yours(the one that i did after my first post), i see that we have the same idea, in general terms with some slight differences, besides that you have a typo on your solution, because the speed of the raptor is 15sqrt{2}m/s and not 12sqrt{2}m/s so the final answer should be 6 s.

Cheers!
 
  • #4
What happened? Did the raptor eat your post instead of you??
 
  • #5
arildno said:
What happened? Did the raptor eat your post instead of you??

It looks like that's the case.

Well, in fact, after i initially posted the problem and the 'solution', after a few hours i wanted to edit it since i found the correct solution, but while tring to post it the pf was having trouble or don't know what, so that's what was left from my post.
 

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