What is the nature of the distance-time graph for accelerated motion?

The nature of the distance-time graph for accelerated motion is a curve. Here's a step-by-step explanation:

1. In physics, motion is described through two basic parameters: distance and time. The graph that represents the relationship between these two parameters is called a distance-time graph.

2. For an object moving at a constant speed, the distance-time graph is a straight line. This is because the distance covered by the object increases uniformly with time.

3. However, for an object in accelerated motion, the speed is not constant. It either increases or decreases with time. This means the distance covered by the object does not increase uniformly. Instead, it increases at an increasing rate if the object is accelerating, or at a decreasing rate if the object is decelerating.

4. As a result, the distance-time graph for accelerated motion is not a straight line. Instead, it is a curve. If the object is accelerating, the curve slopes upwards, becoming steeper as time progresses. If the object is decelerating, the curve slopes upwards but becomes less steep as time progresses.

5. The exact shape of the curve depends on the rate of acceleration or deceleration. If the rate is constant, the graph is a parabola. If the rate is not constant, the graph could take on a variety of shapes.

In conclusion, the distance-time graph for accelerated motion is a curve, which reflects the changing speed of the object.