Calculating Average Velocity: Displacement and Time in Math

How do we compute average velocity?

To compute average velocity, we need to consider two main factors: displacement and time

To compute average velocity, we need to consider two main factors: displacement and time.

Average velocity is defined as the ratio of the total displacement to the total time elapsed. Mathematically, we can express it as:

Average velocity = Total displacement / Total time

To calculate the total displacement, we subtract the initial position from the final position. If an object moves in a straight line without changing direction, we can simply subtract the initial position from the final position.

For example, let’s say an object starts at position 5 meters and ends at position 15 meters. The total displacement would be:

Total displacement = Final position – Initial position
Total displacement = 15 m – 5 m
Total displacement = 10 meters

Next, we calculate the total time elapsed. This can be obtained by subtracting the initial time from the final time.

For instance, if the object starts at time t1 and ends at time t2, the total time would be:

Total time = t2 – t1

Now that we have the total displacement and total time, we can calculate the average velocity.

Average velocity = Total displacement / Total time

Let’s say the total displacement is 10 meters and the total time is 2 seconds:

Average velocity = 10 m / 2 s
Average velocity = 5 meters per second

Therefore, the average velocity of the object is 5 meters per second.

More Answers:

Visualizing Average Rate of Change: A Step-by-Step Guide to Graphical Interpretation
Understanding the Concept of Derivatives: Computing Instantaneous Rates of Change
Calculating Average Speed: Formula, Example, and Explanation

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