KINEMATICS
├── 1. Basic Quantities
│ ├── Scalars: distance, speed, time, mass
│ └── Vectors: displacement, velocity, acceleration
│ ├── Resolution: Ax = Acosθ, Ay = Asinθ
│ ├── Dot product: AB cosθ → scalar
│ └── Cross product: AB sinθ → vector (⊥)
│
├── 2. Equations of Motion (constant a)
│ ├── v = u + at [omits s]
│ ├── s = ut + ½$at^{2}$ [omits v]
│ ├── $v^{2}$ = $u^{2}$ + 2as [omits t]
│ └── sₙ = u + a(2n−1)/2 [nth second]
│
├── 3. Graphical Analysis
│ ├── x-t graph
│ │ ├── Slope → instantaneous velocity
│ │ └── Parabola → uniform acceleration
│ └── v-t graph
│ ├── Slope → acceleration
│ └── Area → displacement
│
├── 4. Projectile Motion
│ ├── Horizontal: constant velocity u cosθ
│ ├── Vertical: SUVAT with a = −g
│ ├── T = 2u sinθ / g
│ ├── H = $u^{2}$s$in^{2}$θ / 2g
│ ├── R = $u^{2}$sin2θ / g [max at 45°]
│ └── Complementary angles → same R, different H
│
└── 5. Circular Motion
├── Speed: constant
├── Velocity: direction changing
├── ω = v/r [rad/s]
└── aₒ = $v^{2}$/r = ω^{2}r [toward centre]
Part of ME-02 — Kinematics
Mind Map — Kinematics
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