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3-035-StadiumDesign-ModelingScenario

Author(s): Brian Winkel

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

Keywords: projectile motion baseball parametric equation stadium home run no reistant fairness no resistance

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Abstract

Resource Image For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?

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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

Consider a baseball field with prescribed irregular outfield and fence configuration.

Suppose a player can hit a home run which just clears the fence at one given point if the ball leaving the bat (2 feet off the ground) has initial velocity v0 and launch angle at 45 degrees. Assume no wind resistance.

Redesign the fences so that this player (and hence any player) has the same chance of hitting a home run to anywhere in the outfield (i.e. in the outfield and fair!)

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Authors

Author(s): Brian Winkel

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

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