Find the average velocity in the time intervals

In summary, the formula for average velocity is v = (change in displacement) / (change in time) or v = (x2 - x1) / (t2 - t1), where x2 and x1 represent the final and initial displacements, and t2 and t1 represent the final and initial times. Average velocity can be negative when the object is moving in the negative direction. It is different from instantaneous velocity, which is the velocity at a specific moment in time. Average velocity is typically measured in units of distance per time, and it can be greater than instantaneous velocity in certain situations.
  • #1
Alhanouf
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Homework Statement



The position versus time for a certain particle
moving along the x-axis is shown in Figure 1.
Find the average velocity in the time intervals
0 to 2 s,
2 s to 4 s,
0 to 8 s.

Homework Equations





The Attempt at a Solution



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  • #2
On a distance/time graph, the velocity is the slope of the line. The average velocity between two points on the graph is the slope between the two points.
 

FAQ: Find the average velocity in the time intervals

1. What is the formula for finding average velocity in a given time interval?

The formula for average velocity is v = (change in displacement) / (change in time) or v = (x2 - x1) / (t2 - t1), where x2 and x1 represent the final and initial displacements, and t2 and t1 represent the final and initial times.

2. Can average velocity be negative?

Yes, average velocity can be negative. This occurs when the object is moving in the negative direction, such as when it is slowing down or moving backwards.

3. How is average velocity different from instantaneous velocity?

Average velocity is calculated over a specific time interval and represents the overall rate of change in an object's position. Instantaneous velocity, on the other hand, is the velocity of an object at a specific moment in time and can change constantly as the object moves.

4. What units are used for average velocity?

Average velocity is typically measured in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h).

5. Can average velocity be greater than instantaneous velocity?

Yes, it is possible for average velocity to be greater than instantaneous velocity. This can occur when an object undergoes periods of acceleration and deceleration, resulting in a higher overall average velocity compared to its velocity at a specific moment in time.

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