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Mathematics of Projectiles in Sport

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ISBN-10: 0521398576

ISBN-13: 9780521398572

Edition: 1990

Authors: Neville De Mestre, Chris Heyde, J. H. Loxton, W. D. Neumann, Charles Pearce

List price: $59.99
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The mathematical theory underlying many sporting activities is of considerable interest to both applied mathematicians and sporting enthusiasts alike. Here Professor de Mestre presents a rigorous account of the techniques applied to the motion of projectiles. This equips the reader for the final section of the book in which an enlightening collection of sporting applications is considered, ranging from the high jump to frisbees and soccer to table tennis. The presentation should be accessible to most undergraduate science students and provides an ideal setting for the development of mathematical modeling techniques.
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Book details

List price: $59.99
Copyright year: 1990
Publisher: Cambridge University Press
Publication date: 4/19/1990
Binding: Paperback
Pages: 188
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 0.836
Language: English

Motion Under Gravity Alone
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
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
Classes of Projectiles
Drag-to-weight Ratio
Shot-put and Hammer Throw
Tennis, Table Tennis and Squash
Rugby and Australian Rules Football
Discus, Frisbee and Flying Ring
Long Jump, High Jump and Ski Jump
Water Jets
Cars and Cycles
Seed Dispersal
The Longest Throw or Kick