(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

With constant acceleration prove that the average velocity from t_{1}to t_{2}=t_{1}+ Δt is equal to the instanous velocity in the middle of the time interval between t1 and t2.

2. Relevant equations

What I am looking for is a general equation that does not involve accelaration. All I have is position. By the way this is 1-D kinematics so no need for vectors.

3. The attempt at a solution

Tried all sorts of subs with Vavg= (Vi + Vf)/2 and Vavg= Δx/Δt I tried subbing these in to many of the other equations such as Vf=Vi+at. I imagine there is some sort of trick to it. This thing is driving me nuts.

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# Homework Help: Instantaneous velocity from avg velocity with constant accelartion

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