Maths in physics and engineering · Solid · Dissertation

Modelling a skydiver: a maths EPQ idea

Why it works as an EPQ

Forces lead to a differential equation you solve numerically and compare with published data.

Scope and difficulty

Solid. Solid. One model, one data source, careful evaluation.

The maths

Builds on these A Level topics: Kinematics · Forces and Newton's laws · Differentiation · Numerical methods.

You would learn:

• Quadratic drag
• Solving differential equations numerically
• Changing air density with height

Learning maths beyond the course is expected in a maths EPQ, but you must understand and explain everything you use.

One possible plan

1. Set up the equation of motion with quadratic drag.
2. Solve for terminal velocity and solve the motion numerically.
3. Compare with published speed–time data.
4. Judge the model, including air density changes.

Pitfalls

• Drag coefficients chosen to force a fit.
• Data from an unreliable source.

Where to start reading

• Search for: skydiver quadratic drag terminal velocity model
• Search for: air density with altitude

Prefer books, lecture notes, journal articles and official data to a single website, and record every source as you read (how to reference).

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All maths in physics and engineering ideas · all 93 ideas

Your EPQ must be your own work. These pages coach: ideas, structure, checklists and planning. Submitting text, proofs, code or analysis written by someone else or by an AI tool as your own is malpractice. How to use help and AI honestly.