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 #55603 - 03/02/16 06:06 PM Re: Thoughts on accelleration Orac Megastar Registered: 05/20/11 Posts: 2819 Loc: Currently Illinois, USA Youe working in differentials so you want the average of the difference. The difference is 6 so yes the average differential is 3.I think the issue is you went into differentials thinking it was going to help you ... it won't it makes it more abstract go back to you original form.(i) v = u + at v = your final velocity, u = your start velocitya = your average acceleration, t = timePlugging in some numbers so you see how it works. I start at 2 mph, my accel is 5mph/h and I accel for 3 hoursYour final velocity v = 2 + 5*3 = 17 mph .. I am sure you can see that is correct(ii) Your average velocity Vavg = (v+u)/2*Note the different formula for average because we aren't in differentials the bit that caused you griefOk substitute v from (i) into (ii) (iii) Vavg = ((u+at)+u)/2combine the u's(iv) Vavg = (2u+at)/2Simplify the divid by 2(v) Vavg = u + 1/2atAs you correctly said velocity = distance /time and so you can rewrite Vavg with that formula(vi) Vavg = Daccel / tSubstitute Vavg from (vi) back into (v)(vii) Daccel/t = u + 1/2atRemove the divid t from Daccel by taking to other side(viii) Daccel = (u +1/2at) * tsimplify(ix) Daccel = ut + 1/2at^2So that is the distance the acceleration operated over lets check with our example aboveDaccel = 2*3 + 1/2 * 5 * 3^2 = 6 + 1/2 * 5 * 9 = 6 + 22.5 = 28.5 milesCheck equation (v) and (vi) and you will see it is rightI think that is the distance relationship you were after Edited by Orac (03/02/16 06:11 PM) _________________________ I believe in "Evil, Bad, Ungodly fantasy science and maths", so I am undoubtedly wrong to you. Top
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 Entire topic Subject Posted by Posted Thoughts on accelleration Bill S. 03/01/16 10:33 PM Re: Thoughts on accelleration Orac 03/02/16 05:59 AM Re: Thoughts on accelleration Bill S. 03/02/16 02:16 PM Re: Thoughts on accelleration Orac 03/02/16 06:06 PM Re: Thoughts on accelleration Bill S. 03/02/16 07:52 PM Re: Thoughts on accelleration Orac 03/03/16 03:42 AM Re: Thoughts on accelleration Bill S. 03/03/16 06:20 PM Re: Thoughts on accelleration Orac 03/04/16 04:42 AM Re: Thoughts on accelleration Bill S. 03/04/16 10:06 PM

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