At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Differentiate it twice.
wait distance / time :P
Yeah differentiate the function with respect to time.
height is a position derive it once to find the change in height with respect to time; which is speed, also known as velocity, or how fast the growth is. derive again to find the change in velocity, which is acceleration.
derivatives are 'how something changes compared to something else'. Graphically, that represents slope right? how much does the y value change when you move the x?
Well, I Have a huge problem regarding loggerpro...
We did an experiment where we used mentos & coke in-order to investigate exponential growth patterns ect.. Now I'm struggling to realise why my raw data is linear and Ln data is exponential...
that looks like a bounded exponential
in other words, the data starts out looking linear, but there is a limit that it approaches
red = raw and blue = Ln(height)
ignore the first graph.
how did you obtain the data? what were the ...... ignore function activated :)
But still... do understand what I mean?
almost; can you show me the table that the data comes from? your experiment?
yeah 1 sec
so did you come up with a good: y(s) = s function ?
the time taken to reach the meters? what does position have to do with time?
and of course the higher it gets the slower it goes :)
yeah umm 1 sec
i wrote a program that can fit this to a quadratic :)
i got y=0.5604x-0.8171
Do you know how to expain it being a quadratic?
it would be a best fit line as well
the most basic option would be to take the slope from one point to the next; table that up; and see what it looks like
yeah, but the next question asks: How well do these functions fit your graphs? Are they a perfect fit? Explain your answer
What we are meant to do is determine the function for the graphs
perfect fit? any real life experiments are never gonna perfectly fit a model
There is one argument :)
models are ideals; real life experiments contain to many variables to account for
so how do i use this quadratic program?
you plug in three data points and it takes them to figure out the quadratic that bends to those points; then to test for accuracy, I used a feature to put in a random 'x' point to see if the quadratic is good enough
another option is to do a method of 'least squares' which i forget the steps to :)
Alrighty, so ive got the quadratic: 0.807801462732185x^2 + -11.760157128268668x + 40.60929764207282
cause what I have to do is work out the equations for each graph, preferable manually.. then predict the spray for 5 mentos.. Justify your response in mathematical reasoning..
i didnt see a table option for 'number of mentos'
and remember to use diet coke and the minty mentos....
We have already conducted the experiment its just if i were able to work out 1 i'd be able to do the others :) However, for number of mentos there is one for 4/7/9
Heheh you're my last hope now :P
mythbusters did an episode on this menthos thing; try to check out their work :) get some ideas if you havent already
that cut it short lol just google mythbusters mentos
No idea if this is allowed, but do you use skype?
aint got the periphials for it.....
I just want to screen share or something :L
do you know how to draw a vector field?
they prolly have online stuff to do it quicker and easier tho
in fact, they proly have online best fit calculators too :)
O i can best bit in autograph, its just.. I need to beable to work it out manually. :C
manually can be a pain; especially with alot of data points and decimals involved; that reason we have computers is to use as a tool to help us; it aint a cheat ya know :)
they teach you the manually so that you have the concept of why it works and how to get to an answer when you aint got the tools avaiable; but before computers it took alot of good mena dnwomen and a few good trout many years to do a single math problem