Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

While loading, a truck moves 10 meters west from point A to point B in 5 seconds. Then it moves back to point A in 5 seconds.

What are the average speed and average velocity of the truck?

A. Average speed: 2 meters/second, Average velocity: 2 meters/second
B. Average speed: 2 meters/second, Average velocity: 0 meters/second
C. Average speed: 10 meters/second, Average velocity: 10 meters/second
D. Average speed: 0 meters/second, Average velocity: 10 meters/second


Sagot :

Let's break down the problem step-by-step to find the average speed and average velocity of the truck.

### Step 1: Understanding the Journey

1. The truck moves 10 meters west from point A to point B in 5 seconds.
2. Then it returns 10 meters east back to point A in another 5 seconds.

### Step 2: Calculating the Total Distance Traveled

The distance traveled from point A to point B is 10 meters, and the distance from point B back to point A is another 10 meters.

Thus, the total distance traveled is:
[tex]\[ \text{Total distance} = 10 \text{ meters} + 10 \text{ meters} = 20 \text{ meters} \][/tex]

### Step 3: Calculating the Total Time Taken

The time taken to travel from point A to point B is 5 seconds, and the time taken to travel back from point B to point A is another 5 seconds.

Thus, the total time taken is:
[tex]\[ \text{Total time} = 5 \text{ seconds} + 5 \text{ seconds} = 10 \text{ seconds} \][/tex]

### Step 4: Calculating the Average Speed

Average speed is defined as the total distance traveled divided by the total time taken.

[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{20 \text{ meters}}{10 \text{ seconds}} = 2 \text{ meters/second} \][/tex]

### Step 5: Calculating the Net Displacement

Displacement is a vector quantity that refers to the change in position. Since the truck returns to point A, the net displacement is 0 meters (it ends up at the same point it started).

### Step 6: Calculating the Average Velocity

Average velocity is defined as the total displacement divided by the total time taken.

[tex]\[ \text{Average velocity} = \frac{\text{Net displacement}}{\text{Total time}} = \frac{0 \text{ meters}}{10 \text{ seconds}} = 0 \text{ meters/second} \][/tex]

### Conclusion

The correct answers for this problem are:
- Average speed: 2 meters/second
- Average velocity: 0 meters/second

Hence, the answer to the given question is:

Average speed - 2 meters/second, average velocity - 0 meters/second
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.