How to interpret a curved line on a distance-time graph?

A curved line on a distance-time graph represents an object moving at a changing speed.

In a distance-time graph, the vertical axis (y-axis) represents the distance travelled by an object, while the horizontal axis (x-axis) represents the time taken. If the line on the graph is straight, it means the object is moving at a constant speed. However, if the line is curved, it indicates that the object's speed is changing over time.

The steepness or gradient of the curve at any point represents the speed of the object at that particular moment. If the curve is getting steeper (the line is moving upwards), it means the object is accelerating, or increasing its speed. If the curve is becoming less steep (the line is flattening out), it means the object is decelerating, or slowing down.

It's important to note that the shape of the curve can tell you a lot about how the speed is changing. If the curve is a smooth, continuous line, it means the speed is changing steadily. If the curve has sharp turns or corners, it means the speed is changing abruptly.

In addition, the direction of the curve can also provide information. If the curve is upwards, it means the object is moving in a positive direction (usually interpreted as forward or to the right). If the curve is downwards, it means the object is moving in a negative direction (usually interpreted as backward or to the left).

In summary, a curved line on a distance-time graph is a visual representation of an object's changing speed. By studying the shape, steepness, and direction of the curve, you can gain a detailed understanding of the object's motion.