How to find Change in velocity on an Acceleration vs TIme Graph?

In summary, change in velocity is the rate at which an object's velocity changes over a period of time, typically measured in meters per second squared (m/s^2). To calculate this on an acceleration vs time graph, you can find the slope of the line, with a steeper slope indicating a greater acceleration and larger change in velocity. A positive slope on this graph indicates that the object is accelerating in the positive direction, while a horizontal line indicates no change in velocity. To find the change in velocity at a specific time, you can draw a tangent line and calculate its slope, which represents the acceleration at that time and can be used in the formula change in velocity = acceleration x time.
  • #1
Ram012593
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0

Homework Statement


The question is: Acceleration versus time graphs for five objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?2. The attempt at a solution
Not sure how to start here I only know about distance over time, and velocity over time graphs not acceleration over time graphs.

If anyone could explain how to do this it would be great. Thanks in advanced!
 
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  • #2
"shown below" --not!
 

What is the definition of change in velocity?

Change in velocity is the rate at which an object's velocity changes over a period of time. It is typically measured in meters per second squared (m/s^2).

How do you calculate change in velocity on an acceleration vs time graph?

To calculate change in velocity on an acceleration vs time graph, you can find the slope of the line. The slope represents the rate of change, so the steeper the slope, the greater the acceleration and the larger the change in velocity.

What does a positive slope on an acceleration vs time graph indicate?

A positive slope on an acceleration vs time graph indicates that the object is accelerating in the positive direction. This means that its velocity is increasing over time.

What does a horizontal line on an acceleration vs time graph indicate?

A horizontal line on an acceleration vs time graph indicates that the object is not accelerating, and therefore there is no change in velocity. This could mean that the object is either at rest or moving at a constant velocity.

How can you use an acceleration vs time graph to find the change in velocity at a specific time?

To find the change in velocity at a specific time on an acceleration vs time graph, you can draw a tangent line at that point and calculate the slope of the tangent line. This slope represents the acceleration at that specific time, which can then be used to find the change in velocity using the formula: change in velocity = acceleration x time.

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