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

6066 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The radius of a circular disc is increasing at a constant rate of 0.003cm/s. Find the rate at which the area is increasing when the radius is 20cm.


Use the substitution u=2+ln(t) to find the exact value of the antiderivative of 1/(t(2+ln(t))^2)dt between e and 1.


Differentiate y=x^2 from first principles


Is the function f(x)=x^3+24x+3 an increasing or decreasing function?


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