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**1. Homework Statement**

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. Homework 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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