Relative Motion

Derive the vector equations for relative position, velocity, and acceleration between two reference frames in arbitrary motion.

Apply relative velocity concepts to solve 1D problems involving chases, meetings, and separation.

Analyze and solve classic 2D relative motion problems (e.g., boat-river, rain-person) using vector diagrams.

Derive and apply the condition for minimum separation distance between two objects in uniform 2D motion.

Derive and apply the condition for collision or interception between two objects using relative velocity vectors.