Answer :
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
### 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
