Velocity from Acceleration-Time Graph

In summary, the user has attempted the solution and attached an image, asking for confirmation on its correctness. The problem involves sketching a velocity-time graph based on an acceleration-time graph, and the user has suggested considering integration. There is a small correction in the multiplication of numbers mentioned by another user.
  • #1
aatari
73
3
Hey Guys, I have attempted the solution and have attached the image. Would you guys please have a look and let me know if it is correct.

Thank you so much.

Homework Statement


Using the acceleration-time graph below, sketch the corresponding velocity- time graph. Show your work.

Capture.PNG


Homework Equations


None

The Attempt at a Solution



20170221_181637.jpg
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  • #2
In the third line from the bottom, you multiply 3 times 5.6. Shouldn't it be 3 times 1.6?

Edit: Also, did you consider integrating?
 
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Likes aatari
  • #3
TomHart said:
In the third line from the bottom, you multiply 3 times 5.6. Shouldn't it be 3 times 1.6?

Edit: Also, did you consider integrating?
Yes you are right, it should be 1.6.
 

Related to Velocity from Acceleration-Time Graph

What is velocity from acceleration-time graph?

Velocity is the rate of change of an object's position with respect to time, and it can be determined from an acceleration-time graph by finding the slope of the line.

How do you find velocity from an acceleration-time graph?

To find velocity from an acceleration-time graph, you need to calculate the slope of the line. This can be done by dividing the change in acceleration by the change in time.

What does the slope of an acceleration-time graph represent?

The slope of an acceleration-time graph represents the rate of change of acceleration, which is equivalent to the second derivative of position. It can also be interpreted as the force acting on the object.

Can the velocity be negative on an acceleration-time graph?

Yes, the velocity can be negative on an acceleration-time graph. A negative velocity indicates that the object is moving in the opposite direction of the positive direction on the graph.

How does a constant acceleration affect the velocity-time graph?

A constant acceleration will result in a linear velocity-time graph, where the velocity increases or decreases at a constant rate. The slope of the line on the graph represents the acceleration of the object.

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