If an object moves along a straight line, its motion can be represented by a velocity-time graph. The gradient of the line is equal to the acceleration of the object.
The table shows what each section of the graph represents:
|Section of graph||Gradient||Velocity||Acceleration|
|D (v = 0)||Zero||Stationary (at rest)||Zero|
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.
Here, the displacement can be found by calculating the total area of the shaded sections below the line.
Find the area of the triangle:
Find the area of the rectangle:
base × height
(10 - 4) × 8 = 48 m2
Add the areas together to find the total displacement:
(16 + 48) = 64 m