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Preface | |
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Motion Under Gravity Alone | |
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Gravity | |
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Velocity and Position Vectors | |
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Point of Impact | |
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The Vertex of the Trajectory | |
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Projection from a Different Level | |
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Inclined Plane | |
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Enveloping Parabola | |
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Dimensionless Equations | |
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Exercises | |
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Motion in a Linear Resisting Medium | |
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Velocity and Position Vectors | |
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Maximum Height | |
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Impact Time to the Horizontal Plane | |
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Range on the Horizontal Plane | |
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Envelopes | |
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Inclined Planes | |
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Curve of Safety | |
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Exercises | |
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Motion in a Non-Linear Resisting Medium | |
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Non-linear Drag | |
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Cartesiau Equations for Power-law Drag | |
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Acceleration Components | |
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Power-law Solution | |
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Applications of the Power-law Solution | |
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Other Non-linear Drag Functions | |
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Exercises | |
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The Basic Equations and Their Numerical Solution | |
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The Basic Equations | |
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Ballistic Table Computations | |
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Simple Application | |
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Range Tables | |
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Variations within the Basic Equations | |
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Graphical Technique | |
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Exercises | |
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Small Drag or Small Gravity | |
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Perturbation Techniques | |
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Gravity or Drag Perturbations | |
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Exercises | |
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Corrections Due to Other Effects | |
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Effects Other Than Constant Gravity and Variable Drag | |
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Coriolis Corrections | |
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Gravity Corrections | |
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Density, Temperature, Pressure and Humidity Variations | |
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Lift and Sideways Aerodynamic Corrections | |
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Wind Corrections | |
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Overturning Moment | |
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Differential Corrections | |
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Exercises | |
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Spin Effects | |
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Overcoming Yaw | |
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Spin Stabilisation of Shells | |
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Spinning Spheres | |
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Fluid Dynamics | |
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The Magnus Effect | |
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The Swing of a Cricket Ball | |
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Spinning Seeds | |
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The Equations of Motion for a Spinning Shell | |
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Exercises | |
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Projectiles in Sport and Recreation | |
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Classes of Projectiles | |
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Drag-to-weight Ratio | |
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Shot-put and Hammer Throw | |
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Basketball | |
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Tennis, Table Tennis and Squash | |
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Badminton | |
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Golf | |
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Cricket | |
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Baseball | |
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Soccer | |
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Rugby and Australian Rules Football | |
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Javelin | |
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Discus, Frisbee and Flying Ring | |
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Long Jump, High Jump and Ski Jump | |
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Boomerangs | |
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Water Jets | |
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Cars and Cycles | |
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Seed Dispersal | |
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The Longest Throw or Kick | |
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Exercises | |
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References | |
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Index | |