Relative Velocity & Reference Frames

Same ball. Same motion. Two different observers see two different speeds — because velocity always depends on who's watching, from where.

🚶 GROUND FRAME — observer standing still beside the tracks
🚄 TRAIN FRAME — observer riding inside the train
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The ball walks back and forth inside the train at a fixed pace relative to the train. But relative to the ground, its speed changes — it's faster when walking toward the front (same direction as the train) and slower when walking toward the back (opposite direction). The rule: velocities add, with direction (sign) taken into account.

Problem Solving Physics