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3-054-Relay-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: distance projectile motion relay time baseball outfield home plate minimization

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Abstract

Resource Image We use a differential equations of one dimensional projectile motion and an integration of velocity for total distance to model the relay between an outfielder and an infielder in throwing the ball to home plate.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

A baseball player (outfielder) throws a ball with initial velocity 135 ft/s (about 92 mi/hr - less than a good pitcher's high speed fastball of 100 mi/hr) toward home plate some 400 feet away.

Another player (an infielder who cuts the ball off - catches it - from the outfielder's throw) places himself in direct line between the outfielder and home plate and catches the ball x feet from home plate and then throws (relays) the ball home with initial velocity 110 ft/s.

We determine the location of the infielder so as to minimize the time of the relay.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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