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Formula help needed... algebraic formula for intrainterval rate of acceleration 
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#1
Jun2009, 12:33 PM

P: 42

This isn't for a class, just for my own personal use as I am not a student, but I need an equation in algebraic form that allows me to calculate the average acceleration between spreadsheet intervals given that the intrainterval rate of acceleration is to be treated as a constant, and the speed at the beginning of the interval is known and the speed at the end of the interval is also known.
T = time Speed at T = 4 is 6 Speed at T = 5 is 4 Speed at T = 6 is 7 Speed at T = 7 is 7 I am searching for an algebraic formula (nonderivitative, nontrig) that gives the average rate of intrainterval acceleration if the rate of intrainterval acceleration were constant between T = 5 and T = 6. Speed at T = 4 and speed at T =7 should have no impact to this intrainterval multiplier. Said another way, I have a spreadsheet and I have formulated it so that the average rate of interval acceleration between T = 5 and T = 6 is (Speed at T = 5 + Speed at T = 6)/2, but I know that this is incorrect as the intrainterval rate should rise exponentially between T = 5 and T = 6, so instead of multiplying by 0.5 I should be multiplying by a different fraction that is exponentially related. 


#2
Jun2009, 12:58 PM

Sci Advisor
HW Helper
P: 4,300

Acceleration is change of speed per time step, not average velocity during the time step.
So the acceleration between time T and T' is [(speed at T')  (speed at T)] / (T'  T) 


#3
Jun2009, 04:14 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,353

Since this is not "Linear and Abstract Algebra", I am moving it to "General Math".



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