Advanced Kinematics in Non-Inertial Frames

Derive the kinematic transformation equations for position, velocity, and acceleration for a linearly accelerating reference frame.

Apply the derived transformation equations to analyze the trajectory of an object as observed from a non-inertial frame.

Solve problems conceptually from both an inertial and a linearly accelerating frame to demonstrate the equivalence of the kinematic description.

Solve Olympiad-level problems that combine projectile motion with motion in a non-inertial frame.