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
Answered by Ben W. Maths tutor

6217 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has the equation y=((x^2+4)(x-3))/2*x where x is not equal to 0 . Find the tangent to the curve C at the point where x=-1 in the form y=mx+c


A circle with centre C has equation x^2 + y^2 + 2x + 6y - 40 = 0 . Express this equation in the form (x - a)^2 + (x - b)^2 = r^2. Find the co-ordinates of C and the radius of the circle.


What is the chain rule?


how do I differentiate?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning