What is the quickest route across a ploughed field when your speed
around the edge is greater?
An article introducing the ideas of differentiation.
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 ?
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.
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
Match the descriptions of physical processes to these differential
Various solids are lowered into a beaker of water. How does the
water level rise in each case?