During the derivation of the kinetic–energy expression

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

During the derivation of the kinetic–energy expression, which differential relation links acceleration

a

, velocity

v

and displacement

\mathrm d x

? (a)

2\,a\,\mathrm d x = v\,\mathrm d v

(b)

a\,\mathrm d x = v\,\mathrm d v

(c)

a\,\mathrm d x = 2\,v\,\mathrm d v

(d)

a\,\mathrm d x = v^{2}