During the algebraic derivation of

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

During the algebraic derivation of KE=12mv2KE=\frac{1}{2}mv^{2}, the acceleration aa does not appear in the final formula. Which statement best explains this outcome? (a) aa is assumed to be zero, so it naturally disappears from the algebra. (b) The aa terms in F=maF=ma and in the displacement s=v2−u22as=\dfrac{v^{2}-u^{2}}{2a} cancel when ss is substituted into the work formula. (c) Because the derivation starts with u=0u=0, the factor aa is eliminated along with uu. (d) Kinetic energy depends only on mass and velocity; since acceleration merely causes the motion, it is regarded as irrelevant and left out of the final expression.

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