The distance-time graph of a car is as shown in the figure. Is the car moving with constant spee

step 1 Question number 54. We are given a distance in graph and we have to find the speed of the car at

The distance-time graph of a car is as shown in the figure....

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Key Concepts

Instantaneous Speed

Instantaneous speed is the speed of the object at a specific point in time and can be found by calculating the slope of the distance-time graph at that moment. This is particularly useful when the speed changes over time, as it provides a snapshot of the car's velocity at precise times.

Constant Speed

Constant speed occurs when an object covers equal distances in equal intervals of time, which appears as a straight line with a uniform slope on a distance-time graph. Recognizing whether the graph is composed of straight line segments helps in determining if the speed remains constant during those intervals.

Distance-Time Graph

A distance-time graph visually represents how an object's position changes with time, where the horizontal axis is time and the vertical axis is distance. This type of graph is fundamental in understanding motion as it shows the relationship between two variables clearly over a period.

Slope

The slope of a distance-time graph indicates the speed of the moving object. A steeper slope means a higher speed, while a flatter slope represents a lower speed. The concept of slope, given as the change in distance over the change in time, is essential for interpreting movement in these graphs.

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