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The slope of a straight line tells the rate at which your variables are changing. In this case, it tells you how your velocity is changing over time, which in physics is how we define acceleration.
If you graph the velocity of an object vs time when it is falling through the air, it gives to the acceleration due to gravity because that is the acceleration all objects fall at.
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Is acceleration the slope of velocity vs time graph?
No, acceleration is the rate of change of velocity with respect to time. It is the derivative of the velocity function, not the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate of change of velocity, not acceleration.
When velocity is changing what is happening to the slope on a position versus time graph?
When velocity is changing, the slope of the position versus time graph represents the velocity at that particular moment. The slope becomes steeper when velocity is increasing and shallower when velocity is decreasing. A horizontal line indicates zero velocity.
What is the meaning of each of the following features of a velocity-time graph the slope of the line?
The slope of a line on a velocity-time graph is acceleration.
How do you make an acceleration time graph from the data of a velocity time graph?
To create an acceleration-time graph from a velocity-time graph, you need to find the slope of the velocity-time graph at each point. The slope represents the acceleration at that specific instant. Plot these acceleration values against time to get the acceleration-time graph.
The slope of velocity time graph is changing what does it indicate?
A changing slope on a velocity-time graph indicates that the object's acceleration is changing. If the slope is increasing, the acceleration is positive, and if the slope is decreasing, the acceleration is negative. A flat slope indicates constant velocity.
