The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
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The slope of a distance-time graph represents speed.
The slope of a line on a distance-time graph represents the speed or velocity. The steeper the line is and the greater the slope of the line is, the faster the object is moving.
False. A distance-time graph shows the relationship between distance traveled and time, indicating how far an object has moved over a specific period. To analyze how speed changes with time, one would need a speed-time graph, where the speed of the object is plotted against time. The slope of the distance-time graph represents speed, but it does not directly show changes in speed over time.
The steepness of the line on a distance-time graph represents the radial speed of the object. That is, the speed with which the object is moving towards or away from the origin. The steepness takes absolutely no account of the transverse speed, so you can be going around the origin in a circle at a great speed but, since your distance remains the same, the D-T graph will be flat: implying speed = 0.
The speed. Also, if a positive slope represents the speed in one direction, the negative slope is the speed in the opposite direction.