Rates of change

There are 8 NRICH Mathematical resources connected to Rates of change
Quick Route
problem
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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?
Differential equation matcher
problem
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Differential equation matcher

Age
16 to 18
Challenge level
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Match the descriptions of physical processes to these differential equations.
Immersion
problem
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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?
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
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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.
Reaction types
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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.