Got bored doing physics study so I decided to spice things up a bit... hope it is useful for everyone!

137 Comments

  • + 114
flag lodonnell243 (Mar 14, 2009 at 14:29)
A real physicist would take g to be 9.81, therefore your theory is incorrect. Think of the people who have read this and are now going to get hurt... Tut tut Razz
  • + 15
flag g3cko (Mar 16, 2009 at 9:02)
haha - you should write a new formula!! Big Grin
  • + 35
flag timwestwood (Mar 23, 2009 at 15:38)
he has done it in the mechanics form as in maths where it is only 9.8
  • + 9
flag angusmurray (Mar 26, 2009 at 3:36)
yes, you get props for that
  • + 12
flag ali-chapple (Mar 27, 2009 at 10:37)
my god i thort i'd escaped this once i got home. altho wile i'm here, you should include an air friction coefficient in ur answer and the friction coefficient created by the tyres on the dirt. and 9.8 is a rookie mistake Razz and one more thing just to be annoying. always specify units of angles (degrees or radians) altho i realise it has to be degrees in this case, so i'l let u off Big Grin lecture over hav a nice day kids!
  • + 6
flag timwestwood (Mar 27, 2009 at 11:38)
if you was going to do that you would have to include the energy lost with suspention forks ? would you have to use inertia
  • - 22
flag ddex (Mar 29, 2009 at 4:30) (Below Threshold) show comment
does it work for full suspension bikes ? Wink
  • + 13
flag lodonnell243 (Apr 2, 2009 at 12:01)
lets sue the bastard! as if he has the copyrights for this formula! Wink
  • + 5
flag spongosauraus (Apr 5, 2009 at 12:38)
this is very very very picky
but you'd could take direction into:

if an object is fired at x ms ^(-1)
and fired north, east south and west
it ill travel further when going west
  • + 4
flag angusmurray (Apr 6, 2009 at 1:25)
isnt that because of the rotation of the earth?
  • + 5
flag spongosauraus (Apr 6, 2009 at 3:39)
Yeah
  • + 4
flag angusmurray (Apr 6, 2009 at 4:20)
niiice
  • + 1
flag mattrox (Apr 7, 2009 at 17:47)
evry one keeps sayin, take into consideration the rebound and preload of the forks for interia, i dont think that you can get an accurate measure ment of a forks, preload and rebound, just beacue each for is different, and no doubt each run the rider takes may be rougher or smoother then the next jump, so it might be differnt measurements each time. but props dude.
  • + 9
flag Caiokv (Apr 7, 2009 at 17:53)
but the rebound and the preload influence, as do the air resistance, the temperature, the height, the tires pressure, the mass center, rider position (with variates during the jump).....
But in general cool and useles stuff!!!!
  • + 3
flag mattrox (Apr 7, 2009 at 17:59)
yep, lmao
  • + 4
flag D-Monster (Apr 9, 2009 at 10:49)
A real physicist would take g to be 9.81, therefore your theory is incorrect. Think of the people who have read this and are now going to get hurt... Tut tut


Re: that would only make cm's of diffence Razz so he's right
  • - 11
flag D-Monster (Apr 9, 2009 at 10:50) (Below Threshold) show comment
and Forgot Weight of Rider + Bike and the wind factor
  • + 7
flag angusmurray (Apr 9, 2009 at 18:29)
dude, weight does not affect simple projectile motion; read up on your physics.

and if you want to include wind (which is a force as a function of velocity) it is too hard to integrate nicely
but when you're only going maybe 20 kph it doesnt do a great deal
  • + 4
flag lodonnell243 (Apr 15, 2009 at 18:27)
D-Monster:
You are not getting the principles right here. It is the PRINCIPLE he has not used 9.81 as a physicist that I am getting at Razz Doing a physics A-level, I am being picky on the point I would lose marks for that rather than I am being right twat. Wink
  • + 5
flag radz333 (Apr 19, 2009 at 10:54)
oh dear lol serious mate u have too much time, just do the jump and if you fail, u try again thats my theory lol
  • + 14
flag fr112358 (Apr 21, 2009 at 21:25)
This is so funny. Physicists on PB Salute
  • + 6
flag henrytgreene (Apr 21, 2009 at 21:28)
Everybody shut up. I'm failing geometry and you guys are talking about this stuff like you talk about women. My brain is deteriorating from it all. Plus the best and easiest way to know how fast to go is to just guess it and hit it.
  • - 10
flag woodygebhardt (Apr 24, 2009 at 23:15) (Below Threshold) show comment
im passing geometry and im a year ahead of my grade lol at least im not one of the nerds 2 years ahead in trig/alg2 who might understand this shit lol
  • + 6
flag ziegele (May 6, 2009 at 21:23)
i got lost in the first sentence.......
  • - 2
flag dave6797 (May 7, 2009 at 9:43)
just worked it out if you are in the air for 1 second you will of traveled 81.9 miles (130.3 km) therefore if you are in the air for 2.5 seconds and the jump is facing west realisticly you will be jumping 204.75 miles (329.5 km) + the length of the jump. think about that one then!!
  • + 4
flag fooox (May 14, 2009 at 12:36)
Lol, this is what my friend just said who got an offer from cambridge to read Maths: "OMG lol! I had no idea there were so many nerds on pinkbike. I'm pretty sure though that there's an x missing three lines from the bottom (I think it should be v^2sin(theta)cos(theta)x rather than just v^2sin(theta)cos(theta)) and so basically Angus Murray has completely f*cked this up and is going to be the reason that loads of dirtjumpers hurt themselves."
  • + 4
flag fooox (May 14, 2009 at 14:46)
My other "immensely cool" friend who's got an engineering offer from Cambridge has confirmed the above and also says:
Alichapple: You are wrong it makes no difference if you use degrees or radians
Spongosaurus: You are also categorically wrong: "if an object is fired at x ms ^(-1)
and fired north, east south and west
it will travel further when going west" no, simply no. That doesn't happen.
Angusmurray: "he is impressed with your physics but declares that your formula is messy!"
  • + 4
flag spongosauraus (May 14, 2009 at 15:05)
well you can tell your friend to shove his diploma up his ass because that is a basic fact and if he doesnt know that then good luck with his diploma
  • + 4
flag angusmurray (May 14, 2009 at 23:53)
f*ck i forgot to carry the x through
  • + 4
flag angusmurray (May 14, 2009 at 23:54)
......currently working on a new equation (hopefully less messy)......
  • + 1
flag angusmurray (May 15, 2009 at 0:24)
actually, just put an x next to the sin(theta)cos(theta) on the bottom of the fraction under the square root

and its all good

im sorry if anyone got hurt
  • + 4
flag angusmurray (May 15, 2009 at 1:14)
so the official equation is as follows::::::::

v=sqrt((-4.9*L^2)/((y2-y1)*(cos(theta))^2-cos(theta)*sin(theta)*L))
  • + 1
flag Caiokv (May 15, 2009 at 10:09)
c++ language?
  • + 2
flag angusmurray (May 16, 2009 at 20:32)
nah its just normal math syntax

like what you would type into maple or whatever you use..
  • + 3
flag teamn2 (May 24, 2009 at 23:30)
its like chinese to me haha Razz
  • - 2
flag recklessness (Aug 3, 2009 at 7:26)
All math aside, I just take a few run-ins and hit jumps. No calculations, just balls and a tiny bit of skill. LOL @ your math and the argument that ensued.
  • + 4
flag ZAKLOVESDJ (Aug 26, 2009 at 11:48)
Speed + Skill = Clear Safely Smile
  • + 1
flag freedjdh (Sep 15, 2009 at 19:40)
show this to your math teacher for extra credit! haha
  • + 0
flag DylSay (Sep 16, 2009 at 7:49)
or u just man up and cold turkey hit ANYTHING AND EVERYTHING And stop being such a wuss
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  • + 8
flag birdman111 (Mar 16, 2009 at 16:41)
except you're not taking into account the suspension of the bike (regardless of how small the fork of a dirt jumper is) which changes the heights/distance the rider goes significantly.
  • + 6
flag angusmurray (Mar 17, 2009 at 23:17)
true, but still, most dj forks only have 100mm of travel so i wouldnt call the changes 'significant'.

the equation is based on the motion of a particle, and neglects factors like wind resistance, rotation, the movements of the rider, etc...

but it does give a pretty good indication of how fast you need to go.
  • + 3
flag audeo03 (Aug 3, 2009 at 8:36)
YOU are not taking into account that suspension is really JUST A SPRING and any energy input into them is put back out, minus friction... Conservation of Energy.
  • + 1
flag alech (Nov 15, 2009 at 9:28)
since when did bikes act the same way as particles Smile lol
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  • + 9
flag dirtparkstreet (Mar 17, 2009 at 18:20)
im so glad i never learnt physics, shits whack!
  • - 11
flag spongosauraus (Apr 5, 2009 at 12:36) (Below Threshold) show comment
i took higher physics and i hated it
so i dropped out half way through now when i look at my friends jotters its like
wow thts gay as heck im glad im out of there
  • + 10
flag iainc92 (Apr 7, 2009 at 13:41)
sponge you fail. higher physics is awesome lol
  • - 12
flag spongosauraus (Apr 8, 2009 at 6:06) (Below Threshold) show comment
dropping physics was athe best thing ive ever done
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  • + 15
flag freeride11 (Mar 17, 2009 at 18:20)
+10 for being gnarly...
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  • + 12
flag nickf (Mar 17, 2009 at 18:24)
does this mean i need a spedometer? i'll need to lock out my suspension, ride stiff armed and still legged. and i'll need my school supplies with me at all times. i'ld rather just huck
  • + 13
flag angusmurray (Mar 17, 2009 at 23:19)
all you need is a tape measure, inclinometer, speedometer and calculator. i dont' see what the big deal is.
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  • - 12
flag ryan879 (Mar 18, 2009 at 16:16) (Below Threshold) show comment
i dont get all tht
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  • + 7
flag hendu (Mar 22, 2009 at 21:01)
stop taking this shit so seriousley
  • + 7
flag nickf (Mar 22, 2009 at 21:03)
a speedometer with a sound box to tell your speed, duhhhh
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  • - 5
flag ThunderbirdDJ (Mar 23, 2009 at 17:54) (Below Threshold) show comment
how about you just sack up and do the jump without all this crap
  • + 17
flag angusmurray (Mar 24, 2009 at 1:49)
how about you lick my balls
  • + 5
flag BBtrails (Mar 26, 2009 at 13:16)
i willWink
  • + 5
flag woody-dh (Apr 3, 2009 at 18:08)
8-|
  • + 5
flag kqmtb2006 (Apr 7, 2009 at 14:54)
what the hell
  • + 5
flag fr112358 (Apr 22, 2009 at 19:44)
Eek
  • + 1
flag scrippsranchDJ (Oct 30, 2009 at 1:12)
Sheep
[Reply]
  • + 3
flag g3cko (Mar 24, 2009 at 10:10)
still, well done for trying - never mind what everyone else said!!! Big Grin
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  • + 4
flag caseygoulddhd (Mar 24, 2009 at 18:07)
wtf does any of that stiff meen????
  • + 4
flag g3cko (Mar 25, 2009 at 10:10)
haha - how fast you have to go to clear a jump Big Grin
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  • + 2
flag sammie (Mar 25, 2009 at 15:15)
Nice one for trying. Looks pretty good to me. Although you have not taken into consideration the loss of momentum through air resistance and friction as you leave the ramp. There are a number of factors you have chosen to ignor, so your formula is not exact. But as mathematical models go.... good work.
  • + 3
flag angusmurray (Mar 26, 2009 at 3:40)
im working on a new model: one which incorporates wind resistance, rolling resistance, maybe fork compression, etc

shouldnt be too hard...
  • + 2
flag g3cko (Mar 26, 2009 at 11:18)
Oh my word - this is like an endless circle, it just gets more and more complicated.
then you're probably going to have to take into consideration all sorts of quantum wotzits Razz Big Grin
  • + 2
flag sammie (Apr 9, 2009 at 5:21)
If you could get that done id be impressed. My maths unfortunately wouldnt be up to that right now lol. Give it a go and see how it goes.
[Reply]
  • + 4
flag gromhit (Mar 29, 2009 at 8:06)
wow,this guy is smart
  • - 8
flag onetimetwotime (Apr 3, 2009 at 7:06) (Below Threshold) show comment
no writing chinese on pinkbike.
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  • + 3
flag christian-shreder (Apr 4, 2009 at 7:53)
just grab a shovel and start digging
[Reply]
  • + 3
flag paug (Apr 4, 2009 at 16:50)
Why's everyone talking about "taking into account rolling resistance"? It doesn't affect the formula at all because the velocity term is the v right at the lip of the jump. Any effects of rolling resistance would already have appeared, and are thus incorporated into the velocity term.
  • + 5
flag angusmurray (Apr 4, 2009 at 20:44)
spot on
[Reply]
  • + 2
flag mhoenisch (Apr 7, 2009 at 14:06)
ur retarded just do the jump
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  • + 6
flag henrytgreene (Apr 7, 2009 at 17:49)
POD
[Reply]
  • + 5
flag theGRIMreaper (Apr 7, 2009 at 18:56)
ahhhhhhhhh!!! im only a freshmen i cant figure it out, so does this mean i cant get good untill i can do math like that??
[Reply]
  • + 3
flag hodges (Apr 9, 2009 at 1:41)
i quit math!
[Reply]
  • + 5
flag someguy101 (Apr 12, 2009 at 2:00)
hmmm guess now when you hear them say "taking calculated risks" they are actually calculated.
[Reply]
  • + 2
flag freeride-assault (Apr 12, 2009 at 20:11)
wtf..................:-/
[Reply]
  • + 1
flag lodonnell243 (Apr 15, 2009 at 18:27)
Motherf*ckers have taken this far too far Razz
[Reply]
  • - 10
flag DH-rida-22 (Apr 19, 2009 at 14:46) (Below Threshold) show comment
u guys are f*cking nerds who gives a f*ck biking has nothing to do with math
  • + 10
flag angusmurray (Apr 20, 2009 at 0:08)
how dare you insult math

without it, your god-damn bicycle wouldn't exist in the first place
  • + 3
flag curlyaaron (Apr 22, 2009 at 12:45)
lolBig Grin
  • + 3
flag TheAngryTomato (May 24, 2009 at 16:06)
word

math is the best
[Reply]
  • + 1
flag mountainbiker15 (Apr 22, 2009 at 19:28)
yeah like hole shit you guys get it right dam it its not that hard even look rofl Razz
[Reply]
  • + 2
flag Nzide (Apr 23, 2009 at 10:10)
wooooo i coan work it out in the standard grade form lol
[Reply]
  • + 1
flag scottsrule (Apr 26, 2009 at 2:43)
u should be a land scaper
[Reply]
  • + 2
flag norcoryder11 (Apr 26, 2009 at 8:50)
you guys should be ashamed of your self. lol
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  • + 1
flag woody-dh (Apr 26, 2009 at 21:30)
im not physicist but this looks pretty good to me
[Reply]
  • + 2
flag ratherberidin (Apr 27, 2009 at 16:19)
does this include how high you pop or if you pump the jump
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  • + 2
flag idonthaveabike (May 3, 2009 at 15:10)
and make sure you have a speedo on your bike....wont be able to know how fast you are going otherwise
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  • + 2
flag Mark-D (May 6, 2009 at 8:36)
i get it... i think????? lol
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  • + 1
flag teuton612 (May 6, 2009 at 21:24)
If you are getting bad grades just think of that Haha or just show your teacher that and see if she understands it
[Reply]
  • + 4
flag revsuicide (May 7, 2009 at 5:40)
You forgot about the Coriolis Effect lolol
[Reply]
  • + 0
flag Halzter (May 7, 2009 at 9:30)
Rather than work it out, just do the jump and go with the flow
[Reply]
  • + 2
flag ratherbeoutriding (May 7, 2009 at 9:32)
ahh shit, now i cant use that "how is this going to help me in life" exuse in math class
[Reply]
  • + 2
flag Jakerzzz (May 8, 2009 at 6:46)
Dude, i think its round about 9.81 mpsSmile
[Reply]
  • + 0
flag fireball-92 (May 9, 2009 at 9:53)
enough of the mathematical bollocks just get on with it !
  • + 1
flag Jakerzzz (May 9, 2009 at 14:27)
haha, yeah, but i felt like being smart for once lol
[Reply]
  • + 0
flag sashamtbrider (May 18, 2009 at 21:04)
I HATE ALGEBRA LOL
  • + 2
flag TheAngryTomato (May 24, 2009 at 16:07)
THIS ISN'T ALGEBRA LOL
  • + 5
flag angusmurray (May 26, 2009 at 1:48)
technically it is algebra
  • + 1
flag TheAngryTomato (May 26, 2009 at 15:20)
yeah, the solving part of it but i'm talking about the actual formulation of the equation which is physics. sorry if that wasn't clear :/
[Reply]
  • - 4
flag Tribikefarce (May 24, 2009 at 23:29) (Below Threshold) show comment
have you taken into account the psi of the tubes?
  • + 4
flag angusmurray (May 26, 2009 at 1:47)
makes no difference
  • - 4
flag Tribikefarce (May 26, 2009 at 8:24) (Below Threshold) show comment
rolling resistance!
  • + 5
flag angusmurray (May 26, 2009 at 23:06)
this has been discussed so many times

it only matters how fast you are going when you hit the jump...
  • - 1
flag Tribikefarce (May 27, 2009 at 7:08)
I was kidding.
[Reply]
  • + 1
flag fooox (May 27, 2009 at 4:28)
ha
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  • - 1
flag violetmetal (May 27, 2009 at 14:14)
the formula in hitting the jumps basically measures on how big are your balls....in dirt there's no physics thing...
  • + 4
flag angusmurray (May 27, 2009 at 22:01)
can you speak proper english?
[Reply]
  • - 2
flag deathwish (May 29, 2009 at 14:06)
lovely formula, but it still doesnt tell you how fast you need to go
  • + 5
flag ukal (May 29, 2009 at 14:08)
just put there numbers...
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  • + 1
flag rossspecialized (May 29, 2009 at 14:08)
or insted of goin to all that trouble just use the old sayin "practice makes perfect" Smile
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  • - 1
flag luke-xcess (May 29, 2009 at 15:33)
you would have to take into account rotational energy or inertia because otherwise you could not go forwards on a jump with a vertical takeoff. Also you would have to have an imaginary velocity since you have the root of a negative number in there either that or the length of the gap would have to be complex (just try putting some numbers in and you'll see). also if you were to take the case where the take off and landing are the same height and the takeoff was vertical you would end up dividing by 0 since (y2-y1) would go to 0 as well as sin(theta)cos(theta) which also makes it all go strange.
  • + 3
flag angusmurray (May 29, 2009 at 18:41)
when you plug the numbers in you get the root of a positive number, whenever the difference between the heights (y2-y1) is less than the tangent of the theta. Also, theta has to be between 0 and 90 degrees. As you say, when theta equals 90 degrees, everything f*cks up, but thats because this particle sized bike rider would just go up and come straight back down, there is no rotational energy involved in this equation. Most jumps, even if they are extremely steep, don't go past 90 degrees, they might be at about 85 or something, but 90 is just silly.

So actually, for all theta between 0 and 90, and as long as the difference in the height is less than a meter (which is a reasonable assumption for most dirt jumps), you will not get a complex velocity.
so yeh

take that
  • - 1
flag luke-xcess (May 30, 2009 at 17:05)
I just stuck some numbers in (l=2.5, y2=2, y1=1.5 and theta=75) and it came out with 6.256983481i which is an imaginary number!?!?!?!
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  • + 2
flag angusmurray (May 30, 2009 at 21:05)
well what you should have gotten was 11.9 m/s, because i just did the exact same thing -- but thats using the wrong equation

look up a bit and you see i made a mistake, so using your values....

v=7.2 m/s

both of these are real, i dunno what you did to get complex speed
[Reply]
  • + 3
flag JamieT (Jun 2, 2009 at 14:26)
smart, but i prefer to use the cycle as fast as you can at a jump and hope for the bestSmileRazz
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  • + 1
flag dougle08 (Jun 11, 2009 at 13:11)
you have to get out more
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  • + 1
flag jinx (Aug 3, 2009 at 8:46)
You haven't even included natural elements such as wind, ground material, tyre compound etc
  • + 1
flag mrandt (Sep 17, 2009 at 7:00)
yes, wind resistance, drag, momentum, Fg force of gravity, all of those shitties.
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  • + 2
flag lodonnell243 (Aug 6, 2009 at 16:23)
I'm proud of what I started. Smile
  • + 1
flag megastoked (Sep 4, 2009 at 20:36)
pretty entertaining.......and informative
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  • - 1
flag parsons07 (Aug 17, 2009 at 13:14)
tbh hit the jump at the speed that feels right to you :L
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  • + 3
flag AnDY-KoNa (Aug 21, 2009 at 8:27)
ALL I CAN SAY IS....WTF!Eek
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  • + 3
flag cornwallextreme (Aug 22, 2009 at 14:50)
How about the old formula

IF IN DOUBT, HIT IT FLAT OUT?

Usually works for me, plus i dont need a calculator and waste 10mins measuring and working out what i know the end product will tell me - PEDAL!!
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  • + 1
flag BeeAtherton (Aug 26, 2009 at 11:37)
mixing maths with biking.im not sure about that combination
  • + 2
flag mrandt (Sep 17, 2009 at 6:58)
physics has everything to do with biking.
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  • + 0
flag AidenCrocker (Aug 28, 2009 at 2:59)
man the f*ck up .. sorted
[Reply]
  • + 0
flag vineet (Sep 15, 2009 at 10:11)
I'll be honest here. I flunked in maths in high school. Infact I have always been failing in maths ever since 4th grade.
So I have no clue about this stuff over here.. i just know there are some trignometry formulas here.. but what they prove.. i dont know dude.
But i know if there are 9 casettes at the rear wheel... and 2 chaingrings infront that = 18 speeds!
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  • + 4
flag konastoner (Sep 16, 2009 at 7:49)
does that factor in if the riders shit?
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  • + 1
flag jumpshot (Sep 16, 2009 at 13:03)
who gives a shit about all this!?
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  • + 1
flag mrandt (Sep 17, 2009 at 6:57)
dude, i do trajectory questions like this all the time in physics! never thought to use one like this, physics is everywhere!
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  • + 1
flag Bikerboy290 (Sep 27, 2009 at 15:05)
its supposed to 9.81
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  • + 1
flag pyro4826 (Nov 10, 2009 at 9:55)
time to put it into MATLAB Big Grin
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  • + 1
flag snook (Nov 17, 2009 at 12:38)
To be honest, it's cool, but you should just know by looking at the jump, if you're good enough.
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  • + 1
flag haighd2 (Nov 17, 2009 at 12:48)
very few ppl ride of jumps without pulling up so any figure you get out of this is goning to be way offf the mark.
stephen muarry put it best when he said "prettyshady ... you just got to pull back and yank"
[Reply]

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Date: 2009-03-14
Trail: arbitrary
Riders: imaginary
Description: Got bored doing physics study so I decided to spice things up a bit... hope it is useful for everyone!
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