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# Proof of average displacement

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1. I am not able to understand the formula s=(v+u)/2t. I know the graphical proof but not able to grasp it intuitively or based on just reasoning.
2. So the equation is: s = t*(v+u)/2

v is the finishing speed, u is the starting speed.

Then (v+u)/2 looks like an average speed. This is also the speed halfway through the period. (true for constant acceleration)

So distance travelled = (average speed)*(time). Look familiar?

It is basically a generalisation of distance = speed*time.

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Updated: September 10, 2016
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