This Physics with Calculus course provides a comprehensive understanding of mechanics and problem-solving techniques using calculus. It begins with fundamental concepts such as position, velocity, and acceleration, introducing derivatives and integrals to describe motion in one and multiple dimensions. Students explore projectile motion, distance and displacement, and average versus instantaneous velocity through practical examples.
The course delves into forces and energy, including potential energy, conservative forces, and restoring forces in springs and pendulums. Rotational dynamics are covered with detailed derivations for moments of inertia of rods, cylinders, and spheres, and applications of impulse and momentum using definite integrals. Electric fields and vector notation are explained with calculus-based methods for accurate analysis.
For exam preparation, sections on ACT Math and physics problem-solving strategies are included. Students also learn to interpret velocity-time graphs, acceleration graphs, and use vector formulas effectively. With clear explanations, visual demonstrations, and step-by-step calculations, learners develop confidence in applying calculus to solve physics problems efficiently and accurately.
