Match the descriptions of physical processes to these differential equations.

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Can you find the lap times of the two cyclists travelling at constant speeds?

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 ?

What is the quickest route across a ploughed field when your speed around the edge is greater?