Assuming it's a graph of speed vs time, then between 2 times, the average is the distance (= area under the graph between those times) divided by the time difference.
To find the average speed or rate of something.(:
If you graph distance vs. time, the slope of the line will be the average speed.
The answer depends on what variables the graph shows.
-- Pick two points on the graph. -- Find the difference in time between the two points. -- Find the difference in displacement between the same two points. -- (Difference in displacement) divided by (difference in time) is the average Speed . You can't tell anything about velocity from the graph except its magnitude, because the graph displays no information regarding the direction of motion.
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To find the average speed or rate of something.(:
If you graph distance vs. time, the slope of the line will be the average speed.
Assuming it's a graph of speed vs time, then between 2 times, the average is the distance (= area under the graph between those times) divided by the time difference.
-- 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.
Acceleration=change in y graph/change in x graph
The answer depends on what variables the graph shows.
No. What you've described is instantaneous acceleration. To lift the average speed from a graph, you need a graph of distance-time. Pick two points in time, and find the distance at both those times. The average speed over that time interval is (difference between the distances at the beginning and end) divided by (difference between the two times). If you're just going for the average, then it doesn't matter what happened during the interval, only the values at the end-points. The slope of the line tangent to the curve on your distance-time graph is the instantaneous speed at that point in time. We're saying "speed" in this discussion because there's actually no such thing as a graph of velocity. No simple thing anyway. Velocity is a vector, whose magnitude is speed and which includes a direction. It's easy to graph speed vs time, but not that easy to graph direction vs time. So all the graph shows is speed.
-- Pick two points on the graph. -- Find the difference in time between the two points. -- Find the difference in displacement between the same two points. -- (Difference in displacement) divided by (difference in time) is the average Speed . You can't tell anything about velocity from the graph except its magnitude, because the graph displays no information regarding the direction of motion.
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The slope of the line between two points on the distance/time graph is the same as the average speed during the time interval between those points.
A speed graph has a slope that is greater than zero that is shown on an object accelerating. Graphs that show straight means constant speed and is kept at a negative slope.
The slope of the speed/time graph is the magnitude (size) of the object's acceleration.