# Impact Processes at Meteor Crater (Advanced)

#### Summary

This is a more mathematically advanced version of the Impact Processes activity that introduces students to impact geology in a study of Meteor Crater in northern Arizona. Students use a set of formulas from physics and power regression on real data to determine the energy released on impact and the size of the impactor that formed the crater.

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## Learning Goals

Objectives
• Use formulas from physics to find the size of the meteorite that formed Meteor Crater in Arizona:
• Derive a formula relating kinetic energy and diameter of the crater using regression and calculate the energy released on impact;
• Use the formula relating kinetic energy and mass to determine the mass of the meteorite;
• Use the formula relating mass, volume, and density to find the volume of the meteorite;
• Use the formula relating spherical volume to radius to find the diameter of the meteorite.

Mathematical Skills
• Apply algebra.
• Solve power and linear equations.
• Perform linear regression on data.
• Solve equations involving kinetic energy, mass, and volume.
• ## Context for Use

This activity consists of a set of quantitative problem-solving exercises that can be used as an in-class activity or an assignment in any course with a unit on impact processes or impact events, such as:
• Physical geology or physical geography
• Historical geology or Earth history
• Environmental geology, natural hazards, natural disasters
• Earth system science or Earth and space science
• Introductory astronomy

## Teaching Notes and Tips

An Instructor's Guide to all Kéyah Math activities is available online from the Instructor Resources page on the Kéyah Math website.

## Assessment

Students record their work and answers in a word-processor document or a notebook, which can be submitted to the instructor for assessment. Solutions to these problems are available online from the Instructor Resources page on the Kéyah Math website.

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