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The Student and Tutor reviewed homework from their calculus-based physics unit, focusing on graphical analysis and the application of integration. They then delved into advanced kinematics, practicing how to use integration to find velocity and position when acceleration is not constant, and interpreting position-time graphs using derivatives and concavity. The Tutor assigned five practice questions for homework and planned to begin 2D motion in the next session.

The Student and Tutor reviewed previous kinematics homework and graph interpretation, then moved into calculus-based physics. They discussed average versus instantaneous velocity and acceleration, practiced vector operations for change in velocity, and used derivatives to find instantaneous values. The Tutor assigned new problems focusing on these calculus applications, along with continued revision of earlier kinematics worksheets.

The Student and Tutor reviewed concepts of free-fall motion and its graphical representation. They practiced applying the first, second, and third kinematic equations to solve various problems involving displacement, velocity, acceleration, and time. For homework, the Student was assigned two worksheets to reinforce their understanding of 1D kinematic motion and prepare for a new topic in the next session.

The session focused on 1D kinematics, reviewing velocity-time graphs and introducing free fall mechanics. Student and Tutor thoroughly discussed the acceleration due to gravity and solved problems using the first two kinematic equations for various scenarios, including objects dropped and thrown. Homework involving 1D kinematics problems was assigned, with plans to cover 2D kinematics and address homework doubts in the next class.

The Student and Tutor reviewed the first kinematic equation and delved into an extensive analysis of velocity-time graphs. They practiced interpreting various graph shapes to understand motion, acceleration, and displacement, including complex scenarios involving negative velocity and turning points. The Student successfully applied new interpretive tricks to solve problems, and it was planned that freefall, and the second and third kinematic equations, would be covered in the next session.

The session introduced the foundational concepts of kinematics in physics, distinguishing it from dynamics, and covered the definitions, formulas, and units related to speed, distance, and time. The Student practiced solving problems involving these quantities, including essential unit conversions, and was introduced to interpreting distance-time graphs and their connection to calculus concepts like derivatives for understanding speed. The plan is for the Student to share their college course syllabus for future sessions, which will build upon these basics to cover calculus-based physics before the course starts.