Displacement - Time Graph

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

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

Analysing Displacement - Time Graph

- When analysing displacement-time graph, always remember that the gradient of the graph represents the velocity of the graph.
- Therefore, if the gradient of the graph is positive, the velocity is positive, and if the gradient of the graph is negative, the velocity is negative.
- A negative velocity indicates that the object moves in opposite direction.
- Table below shows the displacement-time graph of various motion.

__Velocity = 0__This is a horizontal straight line, hence the gradient = 0.

Therefore, the velocity = gradient of the graph = 0, which means the object is stationary (does not move).

__Uniform Velocity__The graph is a non-horizontal straight line, hence the gradient is not equal to 0. For a straight line, the gradient is constant,

hence, the velocity of the moving object is uniform.

__Negative Uniform Velocity__The graph is a non-horizontal straight line, with negative gradient. For straight line, the gradient must be constant. The negative value of gradient indicates that the object moves in opposite direction.

Therefore, this graph represents a motion with uniform velocity in opposite direction.

__Increasing Velocity__The graph is a curve, shows that the gradient is not constant. The gradient increases over time, indicates that the velocity increases over time.

__Decreasing Acceleration__The gradient decreases over time, shows that the velocity of the moving object decreases over time.

### Recommended Videos

#### Displacement - Time Graph Part 1

#### Displacement - Time Graph Part 2

#### Displacement - Time Graph Part 3

#### Displacement - Time Graph Exercise 1

#### Displacement - Time Graph Exercise 2

#### Displacement-Time Graph to Velocity-Time Graph

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