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The slope of a position-time graph equals the average speed because it represents the rate of change of distance with respect to time. So, a steeper slope indicates a higher speed, while a flatter slope indicates a slower speed. The average speed is calculated as the total distance traveled divided by the total time taken, which is similar to finding the slope of the line connecting two points on the graph.
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The relationships between average speed and the slope of a position time graph?
-- If the position/time graph is a straight line, then the speed is constant, and the slope of the line is the average speed, as well as the instantaneous speed at any moment. -- If the position/time graph is not a straight line, then the average speed between two moments in time is the slope of a straight line drawn between those two points on the graph.
How does the slope from the distance vs time graph compare to the average speed?
The slope of a distance vs. time graph represents the velocity of an object. Average speed is calculated by dividing the total distance traveled by the total time taken. If the object's velocity is constant, then the slope of the distance vs. time graph will be the same as the average speed.
How do you determine the speed of an object by looking at a graph?
To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.
Which describes the average velocity of a bicycle going at a constant speed in constant direction?
The total displacement divided by the time. The slope of the displacement vs. time graph.
During which interval is the runners average speed the greatest?
The runner's average speed is greatest when they cover the most distance in the least amount of time. Therefore, the average speed is greatest when the slope of the distance-time graph is steepest.
Does slope equal speed?
No slope is the angle at which a surface goes up or down.
The relationships between average speed and the slope of a position time graph?
-- If the position/time graph is a straight line, then the speed is constant, and the slope of the line is the average speed, as well as the instantaneous speed at any moment. -- If the position/time graph is not a straight line, then the average speed between two moments in time is the slope of a straight line drawn between those two points on the graph.
When average velocity and average speed is equal?
For the instantaneous value of average velocity, average speed and average velocity are equal.
The slope of a speed vs time graph is equal to what?
Acceleration.
The slope of a position vstime graph is equal to?
speed (magnitude of velocity)
The slope of a speed vs time graph is equal to?
The ratio of rise to run.
Is average speed the slope of a velocity vs. time graph?
No, average speed is not the slope of a velocity vs. time graph; rather, it is represented by the total distance traveled divided by the total time taken. The slope of a velocity vs. time graph indicates acceleration, which is the change in velocity over time. Average speed can be derived from the area under a speed vs. time graph, but it does not equate to the slope of a velocity vs. time graph.
Is the average speed the total distance divided by slope?
The average speed is the total distance divided by the time taken to cover the distance.
What does the slope of a speed vs time graph indicate about an object's motion?
The slope of the speed/time graph is the magnitude (size) of the object's acceleration.
How does the slope from the distance vs time graph compare to the average speed?
The slope of a distance vs. time graph represents the velocity of an object. Average speed is calculated by dividing the total distance traveled by the total time taken. If the object's velocity is constant, then the slope of the distance vs. time graph will be the same as the average speed.
Can you calculate speed from a motion graph?
If you graph distance vs. time, the slope of the line will be the average speed.
What is the speed of a slope?
A slope does not have any speed.
