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|
Calculate the acceleration of the object represented by the steepest line in the graph.
change in velocity = (10 − 0) = 10 m/s
change in time = (2 − 0) = 2 s
acceleration = 10 ÷ 2
Calculate the total displacement of the object - its 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.