You will be using the equations of motion all the time. Surely you want to see their derivation/proof?

__v-t__

The *v-t* equation basically comes directly from the definition of acceleration.

__s-t__

For displacement, we can start from , where *v*_{ave} refers to the average velocity during the duration *t*. Since for uniform acceleration motion,

Another way to derive equation (2) is by considering the trapezium area under the *v-t* graph.

From equation (2), we just need to get rid of *v* by substituting into equation (2).

__v-s__

To derive the *v-s* equation, we just need to get rid of *t* by substituting into equation (2).

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