Foundational Kinematics: Understanding Motion in One and Two Dimensions

Kinematics is the essential starting point for understanding how everything moves, from a falling apple to a satellite orbiting Earth. This course provides the rigorous foundation needed to analyze motion without considering the forces involved. By the end of this course, you will be able to confidently apply the equations of motion, interpret motion graphs, and tackle complex problems in one and two dimensions, preparing you for further study in mechanics. What you'll learn: * Understand the fundamental definitions of distance, displacement, speed, velocity, and acceleration using precise vector notation. * Apply the constant acceleration equations to solve problems involving uniform motion in a straight line. * Analyze and interpret position-time, velocity-time, and acceleration-time graphs to describe the history of an object's motion. * Practice using basic calculus (differentiation and integration) to describe non-uniform motion where acceleration is a function of time. * Master the analysis of projectile motion, resolving vectors into horizontal and vertical components. * Apply principles of relative velocity to accurately solve problems involving moving observers. The course begins with defining key concepts and vector mathematics, progresses through one-dimensional motion and graphical analysis, and concludes with detailed coverage of two-dimensional motion, including projectiles and relative motion. All concepts are reinforced with written examples and practice exercises. This course is designed for absolute beginners in physics or students needing a strong, mathematically rigorous foundation in classical mechanics. No prior physics knowledge is required, only basic algebra skills. Begin your journey into the science of motion today.