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Seniour Baloc
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How to calculate instantaneous speed from a speed - time graph?
Seniour Baloc said:How to calculate instantaneous speed from a speed - time graph?
HallsofIvy said:A method of getting (an approximation to) instantaneous speed from a graph, that I learned back in secondary school, is this: hold a small pocket mirror on the graph at the point desired and slowly turn it until the graph appears to go "smoothly" into its image in the mirrow. Hold the mirror in place there and use it as straight edge to draw a line perpendicular to the graph. Now do the same thing, rotating the mirror around that point until this new line appears to go "smoothly" into its image in the mirror. Use the mirror as a straight edge to draw the line perpendicular to this line and so tangent to the curve. Now you can extend that line as much as you need to be able to find "rise" and "run" and find the slope of that tangent line. On a "distance vs time" graph that will be the "speed" at that point.
Great answer Chestermiller !Chestermiller said:On a speed-time graph, the instantaneous speed is the speed displayed on the graph at any point.
Chestermiller said:On a speed-time graph, the instantaneous speed is the speed displayed on the graph at any point.
A speed-time graph is a visual representation of the relationship between an object's speed and the time it takes to travel a certain distance. It is a type of line graph where the x-axis represents time and the y-axis represents speed.
To read a speed-time graph, you need to look at the slope of the line. The steeper the slope, the faster the object is moving. The horizontal line represents constant speed, while a curved line indicates a change in speed.
The x-axis represents time, and the y-axis represents speed. The line on the graph represents the speed of the object at different points in time. The area under the line represents the distance traveled.
The acceleration of an object can be determined by calculating the slope of the line on a speed-time graph. A steeper slope indicates a greater acceleration, while a flatter slope indicates a slower acceleration.
A speed-time graph can tell us the speed, direction, and acceleration of an object. It can also show us if the object is moving at a constant speed or if its speed is changing over time.