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Physics and Python: Motion Simulation
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Module 2
The Language of Motion: Calculus for Simulation
1
The Derivative as Instantaneous Rate of Change
Define the derivative as the instantaneous rate of change.
Derivatives in Motion: Position, Velocity, and Acceleration
Interpret velocity as the derivative of position, and acceleration as the derivative of velocity.
3
The Integral as Accumulated Sum and Area Under a Curve
Define the integral as the accumulated sum of a quantity, relating it to the area under a curve.
4
Integration: Unlocking Motion from Rates of Change
Relate integration to finding displacement from velocity and velocity from acceleration.
5
Euler's Method in Python for Equations of Motion
Implement Euler's method in Python to numerically solve equations of motion.
Time Step Impact on Numerical Simulation
Analyze the effect of time step `dt` on the accuracy and stability of a numerical simulation.
Previous module
Foundations: Python for Scientific Computing
Next module
First Simulation: Vertical Motion and Gravity