Velocity-time graph given. Plot acceleration vs time etc.

The acceleration graph would show a constant value of 0 m/s^2 from t=0 to t=5 s, then a constant value of 2 m/s^2 from t=5 s to t=15 s, and finally a constant value of 1 m/s^2 from t=15 s to t=20 s. The average acceleration for each time interval would be 0 m/s^2, 2 m/s^2, and 1 m/s^2 respectively.
  • #1
Alexanddros81
177
4

Homework Statement


Serway Physics Section 2.4 Acceleration

15. A velocity-time graph for an object moving along the x-axis is shown in Figure P2.15.
(a) Plot a graph of the acceleration versus time. Determine the average acceleration of
the object (b) in the time interval t=5.00 s to t=15.0 s and (c) in the time interval t=0 to t = 20.0 s.

Homework Equations


Serway Physics Figure P2_15.jpg


The Attempt at a Solution



Serway Physics 2_15001.jpg

[/B]
Is my calculation correct?
 

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  • #2
Alexanddros81 said:

Homework Statement


Serway Physics Section 2.4 Acceleration

15. A velocity-time graph for an object moving along the x-axis is shown in Figure P2.15.
(a) Plot a graph of the acceleration versus time. Determine the average acceleration of
the object (b) in the time interval t=5.00 s to t=15.0 s and (c) in the time interval t=0 to t = 20.0 s.

Homework Equations


View attachment 233466

The Attempt at a Solution



View attachment 233467
[/B]
Is my calculation correct?
It is correct.
 

1. What is a velocity-time graph?

A velocity-time graph is a visual representation of an object's velocity as it changes over time. The slope of the graph at any point represents the object's acceleration at that moment.

2. How is acceleration calculated from a velocity-time graph?

The acceleration can be calculated by finding the slope of the velocity-time graph at a specific point. This can be done by dividing the change in velocity by the change in time between two points on the graph.

3. What does a straight line on a velocity-time graph mean?

A straight line on a velocity-time graph indicates a constant acceleration. The slope of the line represents the magnitude of the acceleration, with a steeper slope indicating a larger acceleration.

4. Can acceleration be negative on a velocity-time graph?

Yes, acceleration can be negative on a velocity-time graph. This means that the object is slowing down or decelerating, as the velocity is decreasing over time.

5. How can you determine the distance traveled from a velocity-time graph?

The distance traveled can be determined by finding the area under the velocity-time graph. This can be done by dividing the graph into smaller rectangles and triangles, calculating their individual areas, and then adding them together to find the total distance traveled.

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