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### There are 8 results

Broad Topics > Calculus > Rates of change

### Immersion

##### Age 14 to 16 Challenge Level:

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

### Differential Equation Matcher

##### Age 16 to 18 Challenge Level:

Match the descriptions of physical processes to these differential equations.

### Quick Route

##### Age 16 to 18 Challenge Level:

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

### Reaction Types

##### Age 16 to 18 Challenge Level:

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

### Jumping Gerbils

##### Age 14 to 16 Challenge Level:

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.

### An Average Average Speed

##### Age 14 to 16 Challenge Level:

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 ?

### An Introduction to Differentiation

##### Age 14 to 18

An article introducing the ideas of differentiation.

### Lap Times

##### Age 14 to 16 Challenge Level:

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