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Motion Sensor

Age 14 to 16
Challenge Level Yellow star
  • Problem
  • Getting Started
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Moving between representations is a key area of capability in mathematics.

This problem rests on the student visualising the motion from a graphical expression of the distance-time data.

Asking for a result in units other than those given on a graph scale involves a little problem solving but mostly relies on an ability to see the same quality (speed) expressed in more than one way (m/s or mph)


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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

There and Back

Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?

Escalator

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. ... How many steps are there on the escalator?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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