How Do I Plot an Acceleration-Time Graph from a Given Velocity-Time Graph?

  • Thread starter n3w ton
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In summary, the acceleration-time graph can be plotted by finding the slope of the velocity-time graph, which in this case is a constant value of ‒9.4 m/s2.
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n3w ton
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Homework Statement


I need help plotting the acceleration time graph from a given velocity-time graph.

Homework Equations


I know you need to do slope [Which is already provided] [9.40 m/s2]

I also attached the distance-time graph [first one] and I also attached the velocity time graph [graph 2]

The Attempt at a Solution


[URL=http://img94.imageshack.us/i/graphim.jpg/][PLAIN]http://img94.imageshack.us/img94/5596/graphim.jpg[/URL]

here is my attempt at the acceleration-time graph
[URL=http://img855.imageshack.us/i/graph.jpg/][PLAIN]http://img855.imageshack.us/img855/3531/graph.jpg[/URL]
Did I do it right, please correct it thank you!
 
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  • #2
The slope of the position vs. time graph is velocity.

The slope of the velocity vs. time graph is acceleration.

Your acceleration looks reasonably constant at ‒9.4 m/s2.
 

FAQ: How Do I Plot an Acceleration-Time Graph from a Given Velocity-Time Graph?

1. What is an acceleration-time graph?

An acceleration-time graph is a visual representation of an object's acceleration over time. It shows how an object's velocity changes over time, with the slope of the graph representing the object's acceleration at any given time.

2. How do you interpret an acceleration-time graph?

To interpret an acceleration-time graph, you can look at the slope of the graph. A positive slope indicates a positive acceleration, while a negative slope indicates a negative acceleration. A flat line indicates zero acceleration, or constant velocity.

3. What is the difference between velocity-time and acceleration-time graphs?

A velocity-time graph shows an object's change in velocity over time, while an acceleration-time graph shows an object's change in acceleration over time. The slope of a velocity-time graph represents acceleration, while the slope of an acceleration-time graph represents the change in acceleration.

4. How can you calculate acceleration from an acceleration-time graph?

To calculate acceleration from an acceleration-time graph, you can use the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval. The slope of the graph can also be used to calculate acceleration.

5. What are the units of measurement for an acceleration-time graph?

The units of measurement for an acceleration-time graph depend on the units used for time and acceleration. Time is typically measured in seconds, while acceleration can be measured in meters per second squared (m/s^2) or feet per second squared (ft/s^2).

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