Distance-Time Graph

A distance-time graph is a graphical representation that shows how the distance traveled by an object changes over time. The distance is plotted on the y-axis, while the time is plotted on the x-axis. The shape of the graph can provide information about the type of motion exhibited by the object.

Uniform Motion

In uniform motion, an object covers equal distances in equal intervals of time. This means that the object is moving at a constant speed. The distance-time graph for uniform motion is a straight line. The slope of the line represents the speed of the object. The steeper the slope, the faster the object is moving.

Non-Uniform Motion

In non-uniform motion, an object covers unequal distances in equal intervals of time. This means that the object is changing its speed. The distance-time graph for non-uniform motion is a curved line. The curvature of the line indicates that the object is either accelerating or decelerating.

Explanation of the Correct Answer

The correct answer is option 'C' - curved. This means that the distance-time graph of non-uniform motion is a curved line. This is because in non-uniform motion, the object is changing its speed. It may be accelerating, decelerating, or following any other pattern that does not result in equal distances covered in equal intervals of time.

When an object accelerates, it covers increasing distances in equal intervals of time. This results in a curve that is upward sloping. The steeper the curve, the faster the object is accelerating. On the other hand, when an object decelerates, it covers decreasing distances in equal intervals of time. This results in a curve that is downward sloping.

In addition to acceleration and deceleration, the graph may also have other shapes depending on the specific motion of the object. For example, the graph may have multiple curves, indicating changes in acceleration or direction.

Therefore, the distance-time graph of non-uniform motion is a curved line, as it represents the changing speeds and distances covered by the object over time.