Part of ME-02 — Kinematics

Labeled Diagram — Projectile Motion Anatomy

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u (launch) u cosθ u sinθ Peak H = $u^{2}$s$in^{2}$θ/2g H R = $u^{2}$sin2θ/g θ

Components:

  • Orange dashed arc: parabolic trajectory
  • u cosθ (green, horizontal): constant throughout flight
  • u sinθ (green, vertical): reduces to 0 at peak, then reverses
  • H: maximum height = u2sin2θ2g\frac{u^2\sin^2\theta}{2g}
  • R: range = u2sin2θg\frac{u^2\sin 2\theta}{g}, measured along ground

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