CAIE A-Level Physics 2.1.6 Derivation of Uniform-Acceleration Equations

Practise deriving constant-acceleration equations from velocity and acceleration definitions or graphs, stating assumptions and checking dimensions.

Exam points

Derive uniformly accelerated-motion equations from the definitions of velocity and acceleration.
State the assumptions and variables used in the derivation for straight-line constant-acceleration motion.
Check the derived relation by dimensions or by differentiating/inserting the definitions.

[Maximum number: 1]

Which equation, representing uniformly accelerated motion in a straight line, can be determined using only the definition of acceleration?

$s=u t+\frac{1}{2} a t^{2}$

$s=\frac{1}{2}(u+v) t$

v=u+a t

$v^{2}=u^{2}+2 a s$

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