Part of ME-02 — Kinematics

Cross-Topic Connection — Kinematics Connects To

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Connected TopicConnectionHow Kinematics Feeds In
Newton's Laws (ME-03)F = ma; 'a' comes from kinematics SUVATKinematics gives the a to plug into F = ma
Work, Energy & PowerW=FsW = F \cdot s; v2=u2+2asv^2 = u^2 + 2as connects to KE = ½mv2mv^{2}v2u2=2as12m(v2u2)=mas=Fs=Wv^2 - u^2 = 2as \Rightarrow \frac{1}{2}m(v^2 - u^2) = mas = Fs = W
Rotational Kinematicsθ=ω0t+12αt2\theta = \omega_0 t + \frac{1}{2}\alpha t^2; mirrors SUVATAngular analogues: θ↔s, ω↔v, α↔a; same mathematical structure
Simple Harmonic Motiona=ω2xa = -\omega^2 x; position varies as x=Asin(ωt)x = A\sin(\omega t)SHM is non-uniform acceleration; kinematics concept applied with calculus
Fluid Dynamics (Bernoulli)Streamline velocity in fluids uses kinematic conceptsvv in P+12ρv2+ρgh=P + \frac{1}{2}\rho v^2 + \rho gh = const. is kinematic velocity
Optics (ray tracing)Light ray angles use vector resolutionsinθ\sin\theta decomposition identical to projectile component method

Key insight: Mastering SUVAT and vector resolution in Kinematics creates a reusable framework. The substitutions θ→s, ω→v, α→a immediately solve rotational problems without learning new physics — only new symbols.

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