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In this program, geometry is combined with approximation to solve relatively complex problems involving shooting an arrow and landing an airplane on the deck of an aircraft carrier. Emphasizing the value of sketching as a visualization tool, the program also explains how the solution of the archery problem, through geometric inversion, can help solve the problem of a plane landing. (59 minutes)



 
                        

Item#: This title is currently not available.
Copyright date: ©1999



Part of the Series : Math in a Box
     


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Modeling Vectors
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Employing diverse examples such as trains and water slides, this program illustrates the use of vectors to represent forces operating in both two and three dimensions. The algebraic manipulation of vectors in modeling problems is featured. (24 minute...(more details)
 
Bikes and Cars: Centripetal Acceleration
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This program considers the idea that circular motion must imply a force or component of a force toward the center of a circle, as in the Newtonian theory of how the Moon orbits the Earth. The reasons why bicyclists lean during turns, why roads are ba...(more details)
 
Parachuting: Moving Bodies with Constant Mass
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This program uses a parachutist to demonstrate the effects of drag on the force of gravity, showing how to make mathematical approximations and how the resultant forces can be equated to the product of mass and acceleration. A first-order differentia...(more details)
 
Rockets and Avalanches: Moving Bodies with Variable Mass
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In this program, footage of rockets blasting off and avalanches roaring down mountainsides provides two perspectives of the same principle: the rate of change of momentum. Practical calculations of the time it takes for a rocket to lift off and the t...(more details)
 
Doors, Heart Valves, and Flic-Flacs: Moments
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After explaining the principle of moments, this program shows how apparently dissimilar physical phenomena are actually mathematically similar through the examples of a synthetic heart valve, a lock gate, and the gymnastic maneuver known as a flic-fl...(more details)
 


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