The area under the graph can be calculated by:
Calculate the total displacement of the object, whose motion is represented by the velocity-time graph below.
The displacement can be found by calculating the total area of the shaded sections between the line and the time axis.
There is a triangle and a rectangle – the area of both must be calculated and added together to give the total displacement.
To find the area of the triangle:
area = x base x height
area = x 4 s x 8 m/s = 16m
To find the area of the rectangle:
area = base × height
area = (10 - 4) s × 8 m/s = 48 m
Add the areas together to find the total displacement:
Total displacement = (16 m + 48 m) = 64 m
|Velocity-time graph||Speed-time graph|
|Gradient of graph||Acceleration (m/s2)||Rate of Change of Speed (m/s2)|
|Area under graph||Displacement (m)||Distance (m)|