Starting from the fact that acceleration is the differential of velocity (dv/dt = a) derive the SUVAT equations.

Intergrating with respect to time, you get that v = u + at. Knowing that velocity is just the rate of change of your position ds/dt = v, and sustituting the previous expression for v, you get ds/dt = u + at. Integrating this with respect to t again you get s = ut + 0.5at2. To gain the further three equations given on your formula sheet it is just a matter of substituting and rearranging these formulae.

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Answered by Ben W. Maths tutor

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