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Broad Topics > Mechanics > Relative velocity

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Take a Message Soldier

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

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Which Twin Is Older?

Stage: 5

A simplified account of special relativity and the twins paradox.

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In Constantly Passing

Stage: 4 Challenge Level: Challenge Level:1

A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . .

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Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. . . .

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Stage: 5 Challenge Level: Challenge Level:1

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.