Question

if you had two points, say 15mph and 17mph, and a time of traveling, say 1600 milliseconds, how do you know how much total distance is traveled

Answer 1

I am writing a program and need to calculate total distance traveled, given 2 points miles/hour and a given time in milliseconds, which i will later convert

Answer 2

to something more readable

Answer 3

well velocity * time = distance try to convert the miliseconds to hours. like have them have the same common denominator. i think

Answer 4

how do you do the difference between the twoo though?

Answer 5

so if it was 1 number, you could do 15miles / hour * 3600000 milliseconds, i think

Answer 6

which would give you just 15 miles right? then you have distance over time, which you could use (y2-y1)/(x2-x1) to get distance?

Answer 7

assume its accelerating smoothly, average the speed, multiply by the time
speed = distance / time
so
speed x time = distance
as @ksmith197 said though, these equations only work if everything's in the same units of measurement (miles, hours, etc)

Answer 8

so you basically have to convert the 2 input data points, which are miles/hour into just miles right?

Answer 9

then use the given time period to figure out total distance

Answer 10

what they are saying, is:
Assuming that acceleration is linear
\[\frac{\delta x_1}{\delta t_1}~~;~~\frac{\delta x_2}{\delta t_2}\]
are the two inputs.
\[D=\sqrt{(x_2-x_1)+(t_2-t_1)}\]

Answer 11

yah, we are using an arduino, which doesn't measure acceleration. It's pulling miles/hour from the car, so it shouldn't be an issue

Answer 12

So, if this is a real world type thing, as you are making me think it is, the problem is much more complex than you think

Answer 13

oh
dang loll

Answer 14

basically the arduino pulls the miles/hour from the car and then transmits it to a website. it does this at random intervals (1-2 minutes). So basically, what i want to do is get 2 of these points and figure out an estimated distance traveled

Answer 15

for example, 15mph are sent at 1 point in time, and then 17mph are sent 1600 milliseconds later. what is the estimated distance traveled between these 2 points

Answer 16

thank you for helping btw

Answer 17

\[\int_{T_1}^{T_2}v(t)dt\] would be what you're looking for, where \(T_1,T_2\)are start and end time and \(v(t)\) is the velocity

Answer 18

wouldn't it be v(t2)-v(t1)?

Answer 19

since there are 2 velocities?

Answer 20

oh well nm, i guess it could be an average of the velocities, which would be accurate enough

Answer 21

Well, really you're looking at two points on an unknown function, so probably the easiest thing to do would be the avg the velocities and such

Answer 22

ah yah, ok perfect thank you so much

Answer 23

so the above values would come out to be something like

Answer 24

0.0566666

Answer 25

where 1600 milliseconds = 0.000444444 hours

Answer 26

so \[\int\limits_{0}^{0.0004444444}127.5dt\]

Answer 27

\[D=\int_0^T\sqrt{\left(\frac{\delta \vec{r(t)}}{dt}\right)^2}\]

Answer 28

(15 + 17) / 2 = 127.5

Answer 29

oh man, that looks crazy lol. ok so i think it means the magnitude of the vector delta per time?

Answer 30

oh yah and integrated over total time

Answer 31

the easiest way to do this would be:
input 1: 15mph
input 2: 17mph
\[\Delta v=\frac{15+17}2\]
\[\Delta v=16 \frac{mi}h\]
\[16\frac{mi}{hr} \times D {hr}==16\frac{mi}{\cancel{hr}}\times D\cancel{hr}\]

Answer 32

where D is the time you want in hrs

Answer 33

more generally:
\[\Delta v= \frac{\sum_{n=1}^n k(n)}{n}\]
\[\Delta v \times t=distance\]

Answer 34

hrm, yah, i mean it doesn't have to be the most accurate system but basically use this and then you have to multiply by the time that it will travel over the distance

Answer 35

yarp. what are you coding it in?

Answer 36

tons of programming languages but this part is in javascript

Answer 37

all languages used are jsp/java, javascript/jquery, sql, arduino (basically c++/c), php, and html/css, if you want to call them languages lol

Answer 38

I don't really know a lot of jscript

Answer 39

if you know there is only going to be 2 inputs it should be really easy to code. If you can have more than that, you'll need to use arrays which could get a bit messy

Answer 40

you should try :) it is powerful stuff. A lot of oldddddd coding but still the most powerful clientside coding available for web imo

Answer 41

what languages do you know?

Answer 42

yah, it is 2 inputs [miles/hour] and 1 input for each [date]

Answer 43

My research is in Computational Molecular Biology... I do a lot in UNIX shells (bash etc) and iterative python coding

Answer 44

oh wow nice, yah, i've done a bunch of bash for the company i interned at. Shell's are really useful for web development

Answer 45

other than basic html markup, i dont know much about web stuff lol

Answer 46

almost all websites hosted via, minus the consumer market

Answer 47

it's fun stuff, highly recommend. you definitely are a smart guy. you could pick it up really fast, and, to be honest, almost all companies are using web ui for their software nowadays, internally

Answer 48

you say research, are you a grad student or phd?

Answer 49

lol, i plan on keeping on doing what I do... most recently (from my username you can probably figure out which author is me):
http://pubs.rsc.org/en/Content/ArticleLanding/2014/MB/C4MB00239C#!divAbstract

Answer 50

oh man nice. you are way out of my reach. I have only taken chemistry 1, but tons of physics courses, thought hey only pertain to electrical engineering

Answer 51

mr Alan Jonathan Quentin Greenea

Answer 52

lol

Answer 53

lol

Answer 54

keep doing your thing, and i'm sure you'll get where you want to go.. as for me... i still have another 5ish years to finish my PhD... and then you know... forever until I finish researching things that are interesting.

Answer 55

is this u?
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Answer 56

no

Answer 57

haha well the best to you :) thank you so much for you help

Answer 58

though, in that search all the sciencey diagrams are part of my work

Answer 59

https://www.google.com/search?safe=off&site=&tbm=isch&source=hp&biw=1280&bih=930&q=Alan+Jonathan+Quentin+Greene&oq=Alan+Jonathan+Quentin+Greene&gs_l=img.3...569.569.0.892.1.1.0.0.0.0.68.68.1.1.0....0...1ac..51.img..1.0.0.aYrkr9-SjTI&gws_rd=ssl#facrc=_&imgdii=_&imgrc=E0pmYHK_Qq5EOM%253A%3ByNn8hnTl4TmggM%3Bhttp%253A%252F%252Fpubs.rsc.org%252Fservices%252Fimages%252FRSCpubs.ePlatform.Service.FreeContent.ImageService.svc%252FImageService%252FArticleimage%252F2014%252FMB%252Fc4mb00239c%252Fc4mb00239c-f4_hi-res.gif%3Bhttp%253A%252F%252Fpubs.rsc.org%252Fen%252Fcontent%252Farticlehtml%252F2014%252Fmb%252Fc4mb00239c%3B975%3B741

Answer 60

pretty cool that quintin tarentino comes up in your search lol