AP Calc BC Differential Equations Euler's Method Unit 7

Project: Apollo 13 Re-Entry

April 7, 2026

2 simulations

Unit: Differential Equations (AP Calc BC Unit 7)
Topics: Solving Separable Differential Equations, Euler’s Method
Students join NASA’s trajectory verification team during the Apollo 13 mission. They solve a separable differential equation to model the spacecraft’s velocity during descent, use Euler’s Method to simulate parachute deployment, and assess how much the entry point could shift due to a small navigation error. This project ends with a short flight readiness memo where students decide whether the trajectory is safe to fly based on their results.

Resources

Materials

Interactive Work

Simulations

Interactive embeds and supporting notes for this assignment.

Simulation

Apollo Parachute Descent

Open simulation

Configure drogue and main parachute deployment altitudes in Apollo’s parachute descent, and the step size used by the AGC’s estimations, to see how parachute deployment timing and Euler’s method affect a safe landing.

NEED QUICK

  • ALL Calc Topics
    AB and BC
  • 1000+
    PRACTICE questions
  • 400+ FLASHCARDS
  • VIDEO tutorials

CALC HELP?

Download the I Aced Calculus App today!