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.

BW

Related Maths A Level answers

All answers ▸

Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)


The line AB has equation 5x+3y+3=0. It is parallel to a line with equation y=mx+7. What is m?


How would you work out the equation of the normal at a point (2,5) given the equation of a line?


A geometric progression has first term 3 and second term -6. State the value of the common ratio.