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Robert Dalling
The Doppler Effect for co-linear sound waves
The addition of velocity vectors.
How to use the thin-film equation.
Using integration to obtain the electric field and voltage of lines and arcs of charge.
Using Gauss’s law with integral calculus for lines, cylinders, spheres, and sheets.
Using Kirchoff’s loop rules
How to solve homework problems involving constant acceleration.
Integration of vectors
Total distance traveled obtained by integrating an arc length.
Projectile Motion
Equations for certain special cases of projectile motion.
Additional aspects of the range equation.
Position, displacement, velocity, and acceleration vectors
Extra problems involving trajectories on hills.
Conservative forces, work integrations, and scalar potentials
Mechanical work, kinetic energy of motion, gravitational energy, and elastic energy
The work-energy theorem and the conservation of mechanical energy
Newton’s laws of motion
Gravity, Orbits, and Kepler’s Laws
How to use integration to calculate the moment of inertia.
The physical meaning of the moment of inertia
Rotational motion
Summing torques through integration.
Torque and equilibrium
The vector cross product
The Madras Crocodile Bank Trust and Centre for Herpetology
Systems with varying mass
The angles needed to solve physics problems involving inclined planes
Integration of impulse
Momentum