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SUVAT - Deriving s = ½ (u+v) t

I've managed to understand how to derive all the other equations, however, I'm struggling with the equation without acceleration, s = ½ (u+v).

My textbook says to treat the area under the graph as the area of a trapezium, but I'm struggling to see it as a trapezium.
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Avatar for Franzen
Franzen
16
Have you tried drawing your own velocity-time graph? What do you come up with if you draw a v-t graph with the following: a particle starting with velocity u at a time t=0, that is accelerating with constant acceleration to a velocity v at a time t=t?

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