Graph of Motion

Displacement - Time Graph

In a Displacement-Time Graph, the gradient of the graph is equal to the velocity of motion.

Analysing Displacement - Time Graph

Gradient = 0 Hence, velocity = 0	Gradient is constant, hence, velocity is Uniform
Gradient is negative and constant, hence velocity is uniform and in opposite direction	Gradient is increasing, hence velocity is increasing.
Gradient is decreasing, hence velocity is decreasing.

Velocity - Time Graph

• The gradient of the velocity-time gradient gives a value of the changing rate in velocity, which is the acceleration of the object.
• The area below the velocity-time graph gives a value of the object's displacement.

Analysing Velocity - Time Graph

Uniform velocity	Uniform acceleration
Uniform deceleration	Increasing acceleration
Increasing deceleration

Converting a Velocity-Time graph to Acceleration-Time graph

In order to convert a velocity-time graph to acceleration time graph, we need to find the gradient of the velocity time graph and plot it in the acceleration-time graph.

Dropping an object from high place

Velocity - Time Graph	Acceleration - Time Graph

Launching Object Upward

Velocity-Time Graph	Acceleration-Time Graph

Object moving upward and fall back to the ground

Velocity-Time Graph	Acceleration-Time Graph

Object falling and bounces back

Velocity-Time Graph	Acceleration-Time Graph