Help Required for Projectile Motion Equation

[Waqas Ahmad]

i was reading a golf simulator forum. i am actually interested in writing a code and make graphs to see how trajectory path looks like.For any given time (t) the distance traveled (x component) is

x(t) = (Vo cosm)t
and the height (y component) at any given time (t) is

y(t) = (Vo sinm)) - (gt²)/2I mentioned the equation above but i can't figure out what is A with cap sign in this equation. Please i desperately need an answer on that. hope some one can take away my curosity on this. as i have to start working on it and make code ready ASAP. any help would be appreciated.

 

[nasu]

A good source will specify the meaning of all symbols in the equation.
You did not try to look up some other source? Maybe it's just a mistake or a typo?

https://en.wikipedia.org/wiki/Projectile_motion

 

[Waqas Ahmad]

it's not a typeo, i have looked many equations in this format, i'll post the link maybe it will help from where i get it.

here it is

http://www.golf-simulators.com/physics.htm

 

[nasu]

Can you show another place where the equations have this character?
And have looked the Wikipedia link? Can you see there the equation in the correct format?

From that page that linked to it seems that this A with a hat may be intended to be a superscript format code which showed up in a funny way.
The last term in the equation should be just $1/2 gt^2$.
And when they talk about air density, is probably at $60^o$ but it shows again this symbol, between 60 and the superscript "o".

 

[Waqas Ahmad]

you are right unfortunately i can't show this symbol at any other place also. that's why it's confusing me too that why would they put that symbol there

 

[sophiecentaur]

The last term in the equation should be just 1/2gt².

You should put parentheses around the 1/2 to keep the rest on top of the equation. I am being picky in view of the context of the question and BODMAS still rules.

 

[Waqas Ahmad]

You should put parentheses around the 1/2 to keep the rest on top of the equation. I am being picky in view of the context of the question and BODMAS still rules.

thanks for your reply sir i appreciate that but it still don't explain the A cap sign in the equation

 

[sophiecentaur]

thanks for your reply sir i appreciate that but it still don't explain the A cap sign in the equation

I wouldn't worry about it there must be something wrong with your book - probably bad proof reading. Those two formulae are so common in the literature that you will easily find 'correct' versions with all the symbols explained. Look at the Hyperpyhysics pages on trajectories. The two formulae you quote must be describing the simplest case because the x(t) equation only includes one term.

 

[SteamKing]

If you look at the page on golf simulation, you'll see the funny A-cap scattered about the page, sometimes next to an exponent, sometimes next to a degree symbol.
IMO, there's something funny going on with the math formatting on this page. The A-cap can be ignored, but make sure you can read any exponents it might be next to.

 

[Waqas Ahmad]

I wouldn't worry about it there must be something wrong with your book - probably bad proof reading. Those two formulae are so common in the literature that you will easily find 'correct' versions with all the symbols explained. Look at the Hyperpyhysics pages on trajectories. The two formulae you quote must be describing the simplest case because the x(t) equation only includes one term.

Thanks a lot. i got it.

 

[Waqas Ahmad]

If you look at the page on golf simulation, you'll see the funny A-cap scattered about the page, sometimes next to an exponent, sometimes next to a degree symbol.
IMO, there's something funny going on with the math formatting on this page. The A-cap can be ignored, but make sure you can read any exponents it might be next to.

if possible would you suggest or recommend another link which will cover all aspects, air resistance, temperature air resistance and other factors involved in golf ball flight

 

[Ben123]

Not sure if this would be helpful, it is a rifle ballistic calculator that has all those parameters. I'm sure you could trick it to calculate for a golf ball. You know all the parameters except the ballistic co-efficient of the ball.
http://www.jbmballistics.com/cgi-bin/jbmtraj-5.1.cgi

There is also some handy ones about the max range and wind drift on the website
http://www.jbmballistics.com/ballistics/calculators/calculators.shtml

Ben