When a person leaves his home for sightseeing by his car, the meter reads 12352 km. When he returns home after two hours the reding is 12416 km. a. What is the average speed of the car during this period? B. What is the averge velocity?

Explanation

To solve the problem step by step, we will calculate both the average speed and the average velocity of the car during the trip.

### Step 1: Determine the initial and final odometer readings.
- Initial reading when the person leaves home: 12352 km
- Final reading when the person returns home: 12416 km

### Step 2: Calculate the total distance traveled.
- Total distance traveled = Final reading - Initial reading
- Total distance traveled = 12416 km - 12352 km = 64 km

### Step 3: Determine the total time taken for the trip.
- Total time taken = 2 hours

### Step 4: Calculate the average speed.
- Average speed is defined as total distance traveled divided by total time taken.
- Average speed = Total distance / Total time
- Average speed = 64 km / 2 hours = 32 km/h

### Step 5: Calculate the average velocity.
- Average velocity is defined as net displacement divided by total time taken.
- Since the person returns to the starting point (home), the net displacement is 0.
- Average velocity = Net displacement / Total time
- Average velocity = 0 km / 2 hours = 0 km/h

### Final Answers:
a. The average speed of the car during this period is **32 km/h**.
b. The average velocity of the car is **0 km/h**.

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