| Document Type
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BL
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| Record Number
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630897
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| Doc. No
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dltt
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| Main Entry
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De Mestre, Neville.
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| Title & Author
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The mathematics of projectiles in sport /\ Neville de Mestre.
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| Publication Statement
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Cambridge ;New York :: Cambridge University Press,, 1990.
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| Series Statement
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Australian Mathematical Society lecture series ;; 6
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| Page. NO
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xi, 175 p. :: ill. ;; 23 cm.
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| ISBN
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0521398576 (pbk.)
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: 9780521398572 (pbk.)
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| Bibliographies/Indexes
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Includes bibliographical references (p. [168]-172) and index.
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| Contents
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Motion Under Gravity Alone -- Gravity -- Velocity and Position Vectors -- Point of Impact -- The Vertex of the Trajectory -- Projection from a Different Level -- Inclined Plane -- Enveloping Parabola -- Dimensionless Equations -- Motion in a Linear Resisting Medium -- Velocity and Position Vectors -- Maximum Height -- Impact Time to the Horizontal Plane -- Range on the Horizontal Plane -- Envelopes -- Inclined Planes -- Curve of Safety -- Motion in a Non-Linear Resisting Medium -- Non-linear Drag -- Cartesiau Equations for Power-law Drag -- Acceleration Components -- Power-law Solution -- Applications of the Power-law Solution -- Other Non-linear Drag Functions -- The Basic Equations and Their Numerical Solution -- The Basic Equations -- Ballistic Table Computations -- Simple Application -- Range Tables -- Variations within the Basic Equations -- Graphical Technique -- Small Drag or Small Gravity -- Perturbation Techniques -- Gravity or Drag Perturbations -- Corrections Due to Other Effects -- Effects Other Than Constant Gravity and Variable Drag -- Coriolis Corrections -- Gravity Corrections -- Density, Temperature, Pressure and Humidity Variations -- Lift and Sideways Aerodynamic Corrections -- Wind Corrections -- Overturning Moment -- Differential Corrections -- Spin Effects -- Overcoming Yaw -- Spin Stabilisation of Shells -- Spinning Spheres -- Fluid Dynamics -- The Magnus Effect -- The Swing of a Cricket Ball -- Spinning Seeds -- The Equations of Motion for a Spinning Shell -- Projectiles in Sport and Recreation.
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| Subject
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Projectiles-- Mathematical models.
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| Subject
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Sports-- Mathematical models.
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| LC Classification
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QA862.P76D38 1990
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