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What does a distance vs time graph show us?
Directly it shows the distance of an object from a fixed point (usually the origin) at various times. The gradient of the tangent to the graph (where it exists) shows the velocity of the object and the second derivative (again, if it exists), gives the acceleration.
What does a distance time graph show?
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
True or false a distance time graph shows how speed changes with time?
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.
Distance time graph?
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
What does the slope of the graph indicate about the object's motion?
The answer will depend on whether the graph is a distance time graph or a speed time graph.The slope of a distance-time graph shows that speed of the object in the direction towards or away from the point of reference (usually the origin). It indicates absolutely nothing about its speed in any other direction. So, for example, an object could be rotating around the origin at the speed of light (the fastest possible) and the distance-time graph would show it being stationary bacause its distance from the origin is not changing!The slope of the speed-time graph indicated the acceleration of the object, again with the same qualification.
