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.
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.
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 is a graph traveled in a graph which shows how much we have traveled in equal period of time.
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.
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.
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.
A velocity vs. time graph shows how the velocity of an object changes with respect to time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled by the object. Flat sections of the graph indicate constant velocity, while curved sections show changes in acceleration.
The velocity vs distance graph shows how the object's speed changes as it moves. A flat line indicates constant speed, a straight line with a positive slope shows acceleration, and a straight line with a negative slope indicates deceleration. Curves in the graph suggest changes in acceleration.
The slope of the motion graph represents the object's speed. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed. Specifically, the slope is calculated as the change in distance divided by the change in time, which gives you the speed of the object at any given point on the graph.
A distance-time graph can provide a pictorial indication of how far and fast an object has moved. The steepness of the graph represents the object's speed, while the horizontal axis shows the elapsed time and the vertical axis shows the distance traveled.
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.
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
A displacement-time graph is a visual representation that shows how an object's position changes over time. The slope of the graph indicates the object's velocity, while the area under the graph corresponds to the total distance traveled by the object.
To calculate the gradient of the line on a graph, you need to divide the changein the vertical axis by the change in the horizontal axis.
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.