- #1
kimi8
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Homework Statement
How do I calculate speed in a velocity-time graph? And in a displacement-time graph?
Homework Equations
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The Attempt at a Solution
I'm quite at a lost at how to calculate these =S
Any help is appreciated.
The speed can be determined from a velocity-time graph by calculating the slope of the line. The slope represents the rate of change of velocity, which is equal to the speed. You can find the slope by dividing the change in velocity by the change in time between two points on the graph.
The units for speed on a velocity-time graph are typically meters per second (m/s) or kilometers per hour (km/h). However, you can also use any other unit of distance divided by time, such as feet per second or miles per hour, as long as you are consistent throughout your calculations.
The distance traveled can be calculated from a velocity-time graph by finding the area under the curve. The area represents the displacement, which is the total distance traveled. You can use the formula for finding the area of a trapezoid (A = ½(b1+b2)h) or use numerical integration techniques to calculate the area.
Yes, you can calculate speed from a displacement-time graph. The speed is equal to the slope of the line on a displacement-time graph, as the slope represents the rate of change of displacement. You can use the same method of finding the slope as you would on a velocity-time graph.
On a velocity-time graph, speed and velocity are represented by the same line. However, the difference between the two is that velocity also includes the direction of motion, whereas speed only represents the magnitude of the motion. This means that two objects can have the same speed but different velocities if they are moving in different directions.