To find the average velocity of the car for the entire trip, we need to follow a systematic approach. Let's break it down step-by-step. ### Step 1: Understand the Concept of Average Velocity Average velocity is defined as the total displacement divided by the total time taken. Displacement is the straight-line distance from the starting point to the final position, along with the direction. ### Step 2: Calculate Total Displacement 1. **First Leg of the Trip**: The car travels 150 kilometers north. 2. **Second Leg of the Trip**: The car then travels 50 kilometers south. To find the total displacement: - The displacement from the starting point after the first leg is +150 km (north). - After the second leg, the car moves 50 km south, which reduces the northward displacement. So, the total displacement can be calculated as: \[ \text{Total Displacement} = 150 \text{ km (north)} - 50 \text{ km (south)} = 100 \text{ km (north)} \] ### Step 3: Calculate Total Time 1. **Time for the First Leg**: The car takes 2 hours to travel 150 kilometers. 2. **Time for the Second Leg**: The car takes 1 hour to travel 50 kilometers. Total time taken for the trip is: \[ \text{Total Time} = 2 \text{ hours} + 1 \text{ hour} = 3 \text{ hours} \] ### Step 4: Calculate Average Velocity Now that we have both total displacement and total time, we can calculate the average velocity using the formula: \[ \text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} \] Substituting the values we found: \[ \text{Average Velocity} = \frac{100 \text{ km (north)}}{3 \text{ hours}} \approx 33.33 \text{ km/h (north)} \] ### Conclusion The average velocity of the car for the entire trip is approximately **33.33 km/h north**. Therefore, the correct option is **C**. ### Step 5: Analyze Other Options - **Option A: 50 km/h north**: This option is incorrect because it does not take into account the total displacement and time correctly. The average velocity is not simply the average of the two speeds. - **Option B: 60 km/h north**: This option is also incorrect. It suggests a higher average speed than what is calculated based on the total displacement and time. - **Option D: 100 km/h north**: This option is incorrect as it implies that the car traveled 100 km in 1 hour, which is not the case. The average velocity must consider the total distance and the time taken. ### Revision Summary - Average velocity is calculated as total displacement divided by total time. - Displacement considers direction; in this case, the net displacement is 100 km north. - Total time for the trip is 3 hours. - The average velocity for the trip is approximately 33.33 km/h north.