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

6096 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find stationary points of curve y = x^3+3x-2


Differentiate y=x^3ln2x


Find where the curve 2x^2 + xy + y^2 = 14 has stationary points


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


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