Rates of change

  • Quick Route
    problem
    Favourite

    Quick Route

    Age
    16 to 18
    Challenge level
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    What is the quickest route across a ploughed field when your speed around the edge is greater?
  • problem
    Favourite

    Immersion

    Age
    14 to 16
    Challenge level
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    Various solids are lowered into a beaker of water. How does the water level rise in each case?

  • Differential equation matcher
    problem
    Favourite

    Differential Equation Matcher

    Age
    16 to 18
    Challenge level
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    Match the descriptions of physical processes to these differential equations.

  • Reaction types
    problem

    Reaction Types

    Age
    16 to 18
    Challenge level
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    Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
  • Lap Times
    problem

    Lap Times

    Age
    14 to 16
    Challenge level
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    Can you find the lap times of the two cyclists travelling at constant speeds?
  • An Average Average Speed
    problem

    An Average Average Speed

    Age
    14 to 16
    Challenge level
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    My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

  • Jumping Gerbils
    problem

    Jumping Gerbils

    Age
    14 to 16
    Challenge level
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    A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.
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