# Forces and Motion: Distance-Time Graphs

## Forces and Motion: Distance-Time Graphs

• Distance-time graphs illustrate how an object’s position changes over a given timeframe, with distance on the y-axis and time on the x-axis.
• A straight horizontal line on a distance-time graph represents an object at rest, as the distance does not increase over time.
• A straight, sloping line denotes constant speed. The gradient of the line corresponds to the speed of the object.
• A steeper line indicates higher speed, while a less steep line denotes a slower speed.
• When the line goes from horizontal to sloping, that indicates the object has started moving.
• If the line on the graph curves upwards, it indicates the object is accelerating.
• Conversely, a downward curve denotes deceleration. The object’s speed reduces over time.
• The total distance covered by an object is represented by the total length of the line on the distance-time graph.
• The speed at any given point along the graph can be calculated by drawing a tangent to the point and working out the gradient of this tangent.
• The area under a speed-time graph represents the distance travelled by the object within a specific timeframe.
• A negative slope on a distance-time graph indicates the object is moving in the opposite direction.