8. Calculating Distance from
the Area Under the Curve

Success Criteria

Your learning has been successful if you can do the following:


Learn these so you can communicate this concept well.

Lesson 4: Hei Mahi (Do Now)

Do Now:

Collect and complete this small 'Do Now'. Then glue into your SciPAD page 11. Use your commonsense when glueing - don't glue straight on-top of words!

Lesson 4: Exit Task

Find some space on page 15 of your PESS1.2 SciPAD,
and answer the following questions:

What does each letter in CUTLASS stand for? 

How do we calculate distance using a Speed-Time Graph?

Distance travelled by a moving object can be calculated from its speed-time graph of motion. This is done by funding the are of the shape(s) beneath the graph. 

The graph below shows the speed-time graph of a moving object. 

For calculating the total distance travelled by this object in 30 seconds, you need to calculate the total area beneath the line. Reason: distance = speed x time. For convenience, you can divide this into three areas, two triangles (A and C) and a rectangle (B). 

Remember from Lessons 1-3 that:

This can be rearranged as:

On a speed-time graph, this is the same calculation as the area under the line on the graph. 

Summarising the Speed-Time Graph

Consider the following speed-time graph for a road grader (heavy-duty machine) going up and down a section of straight road. 

In summary:

Tasks & Homework

Task 1: PESS1.2 SciPAD

Page 14 - Calculating Speed from a Distance-Time Graph

Page 15 - New Zealand Secondary Schools Rally Team


Access your own copy of this homework task on Microsoft Teams. 

Remember, to calculate the distance travelled:

Homework - 8. Finding Distance from a Speed-Time Graph