An article introducing the ideas of differentiation.
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.
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 ?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
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. . . .