Physics

Physics

Problem

A train moves with an average velocity of 20 m s−120\,\text{m\,s}^{-1} towards the west for 3 min3\,\text{min}. Determine its displacement during this time.
Intuitive explanation

Displacement is about how far and in which direction an object actually moves from start to finish—not the path it takes. Since the train moves at a constant average velocity in one direction, you can use the straightforward relationship displacement=velocity×time\text{displacement} = \text{velocity} \times \text{time}. The key is to convert your time to the same units as velocity (seconds), then multiply to get the displacement vector, which includes both magnitude and direction (west).

Intuitive explanation

Displacement is about how far and in which direction an object actually moves from start to finish—not the path it takes. Since the train moves at a constant average velocity in one direction, you can use the straightforward relationship displacement=velocity×time\text{displacement} = \text{velocity} \times \text{time}. The key is to convert your time to the same units as velocity (seconds), then multiply to get the displacement vector, which includes both magnitude and direction (west).

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