The position x of an object as a function of time t. What are the avaregae speed and average velocity for the first 4 seconds?
Pick the answer you think is correct below


7.5 m/s; 32.5 m/s

2.5 ms/; (-2.5 m/s)

32.5 m/s; (-7.5 m/s)

32.5 m/s; 32.5 m/s

(-2.5 m/s); 2.5 m/s

(-7.5 m/s); 32.5 m/s

I don't know

To determine the average speed and average velocity over the first 4 seconds, we need more information regarding the object's motion. Typically, the position function \( x(t) \) would be given in terms of time \( t \), such as a polynomial or other expression, so we can compute:

1. **Average speed**: This is calculated as the total distance traveled divided by the total time.
2. **Average velocity**: This is calculated as the displacement (change in position) divided by the total time.

If you're trying to solve a problem based on this list of answers, we would need the exact form of \( x(t) \) to calculate these values.

However, from the given options, let's consider them:

- The answers seem to provide both average speed and average velocity, and the key differences are whether the quantities are positive or negative.
- **Average speed** should always be positive, as it represents the total distance covered.
- **Average velocity** can be negative, indicating the direction of the displacement.

If you have the position function \( x(t) \), I can help compute the exact values. If not, I would recommend choosing "I don't know" since we can't calculate the values without more information.

Would you like to provide more information, or pick the option you think is best?

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Here are 5 related questions to deepen your understanding:

1. What is the difference between distance and displacement?
2. How do you find average velocity when given a position-time graph?
3. Why is average speed always positive, but average velocity can be negative?
4. Can an object have zero velocity but non-zero speed at the same time?
5. How does acceleration affect both speed and velocity over time?

**Tip**: To calculate average velocity, always focus on the **net displacement**, not the total path distance!

The position x of an object as a function of time t. What are the average speed and average velocity for the first 4 seconds? Pick the answer you think is correct below: 7.5 m/s; 32.5 m/s, 2.5 ms/; (-2.5 m/s), 32.5 m/s; (-7.5 m/s), 32.5 m/s; 32.5 m/s, (-2.5 m/s); 2.5 m/s, (-7.5 m/s); 32.5 m/s, I don't know

Learn how to calculate the average speed and average velocity of an object given its position as a function of time. This problem explores kinematic concepts and involves understanding the difference between speed and velocity. Suitable for students in Grades 9-12.

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