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Crossbow Challenge

Science brain teasers require understanding of the physical or biological world and the laws that govern it.


Puzzle ID:#13030
Fun:*** (2.67)
Difficulty:** (2.05)
Submitted By:ejasami***
Corrected By:cnmne




An expert marksmen crossbow hunter, who has never missed a bullseye in his life, has his crossbow mounted on a stand with the shaft of the arrow 175 centimeters (about 5 feet 9 inches) above the ground; with the shaft of the arrow perfectly parallel to the ground. The hunter offers you $1000.00 to stand 35 meters away from the tip of the arrow to act as his target. The rules of his challenge state in order to win the money as his target you have to stand perfectly still, stand tall with your feet 40 centimeters apart, and you can not move in any way until either the arrow hits you or passes by you. When you get the designated distance away from the tip of the arrow the hunter will aim the arrow directly at the vertical mid-line of your body (medial sagittal plane), without changing the arrow's height or parallel. He will pull the trigger firing the bolt toward you at an initial velocity of 60 meters per second. Do you take the challenge from the hunter?

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Jun 15, 2003

takes a lot of working out but is good
Jun 15, 2003

i would any way cause im not that tall!
Jun 17, 2003

Lol, I'd be scared to death!
Aug 10, 2003

I hate to be a wet blanket on this but you'd be a fool to take that bet. while the math may be perfect theres too many other factors to be added in. If the fletching is off in anyway it will effect the flight of the bolt (left,right, or even up).
if your outdoors you have windage and ground elevation to take into account. this is one of those things that looks good on paper but don't bet your life on it. theres to many variables.
Sep 09, 2003

i agree to wolfen. also,(just to be a little idiotic) $1000 isnt really that much... anyway, this is a tough one needing much thinking
Dec 24, 2003

This is a great physics problem. Not that many people would have thought about the distance the arrow would have fallen by the time it reaches its target.
(user deleted)
Apr 02, 2004

this is great. took some time for me to solve it.

you think $1000 is enough for the scare?
Aug 28, 2005

very good teaser and well written
Sep 19, 2005

this is a terrible teaser. and curtiss thinks he's the only one in the world who's heard of guy he is. (BTW i don't like curtiss-you should read all the funny things i write about him)
May 22, 2006

Thats a slow bolt
May 22, 2006

btw, crossbow arrows are bolts
May 22, 2006

whupps. nm about the speed =D
Jun 03, 2006

Good maths teaser, but I didn't sit there and calculate it. It just felt right that the arrow parallel to the floor wasn't going to carry.
Dec 05, 2009

It was a good teaser..It was easy for me though -I bow hunt, so I just knew ...

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