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Forces and Motion

How can a Velocity - Time Graph be used
to show the Total Distance Travelled by an Object?

The total distance travelled by the object can be calculated
by measuring the area between the graph and the baseline.
This is called the area under the graph.

Velocity - Time Graph Showing Total Distance

The area under the graph shown on the previous page
can be divided into two triangles and one rectangle.

The area of triangle A is half base x height

            = 0·5 x 10 x 20

= 100.

The area of triangle C

                      = 0·5 x (70 - 30) x 20

= 400.

The area of rectangle B

              = (30 - 10) x 20

= 400.

The distance travelled is the total area = A + B + C

              = 100 + 400 + 400

= 900 m.

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