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6-050-BowlingBallPath-ModelingScenario

Author(s): Brody Dylan Johnson

Saint Louis University

Keywords: calculus physics dynamics sports rolling slipping bowling bowling ball rolling with slipping bowling lane

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Abstract

Resource Image This modeling scenario examines the motion of a bowling ball with the goal of understanding how various aspects of the release affect ball placement and the entry angle to the pocket, each an important factor in the frequency of strikes.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level

Description

This modeling scenario examines the motion of a bowling ball with the goal of understanding how various aspects of the release affect ball placement and the entry angle to the pocket, each an important factor in the frequency of strikes. The equations of motion for a bowling ball are derived under modest simplifying assumptions, allowing students to examine the effect of initial velocity and spin on the path of the ball. The model can then be used to examine the sensitivity of various bowling strategies to small deviations in the initial conditions. Several ideas for additional study are included for students who wish to expand on the presented ideas.

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Authors

Author(s): Brody Dylan Johnson

Saint Louis University

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