Concept explainers
(Modeling) Distance of a Shot Put A shot-putter trying to improve performance may wonder whether there is an optimal
One model developed for this situation gives D as
Typical ranges for the variables are v: 33-46 ft per sec: h: 6-8 ft; and θ: 40°-45°.
(Source: Kreighbaum. E. and K. Barthels, Biomechanics, Allyn & Bacon.)
(a) To see how angle θ affects distance D. let v = 44 ft per sec and h = 7 ft. Calculate D. to the nearest hundredth, for θ = 40°. 42°, and 45°. How does distance D change as θ increases?
(b) To see how velocity v affects distance D, let h = 7 and θ = 42°. Calculate D, to the nearest hundredth, for v = 43, 44. and 45 ft per sec. How does distance D change as v increases?
(c) Which affects distance D more, v or θ? What should the shot-putter do to improve performance?
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