To determine the average speed of the car, we can use the formula for average speed, which is defined as the total distance traveled divided by the total time taken. ### Step-by-Step Explanation: 1. **Identify the Given Values**: - Distance traveled (d) = 150 meters - Time taken (t) = 5 seconds 2. **Use the Average Speed Formula**: The formula for average speed (v) is: \[ v = \frac{d}{t} \] where: - \( v \) is the average speed, - \( d \) is the distance traveled, - \( t \) is the time taken. 3. **Substitute the Values into the Formula**: Plugging in the values we have: \[ v = \frac{150 \text{ meters}}{5 \text{ seconds}} \] 4. **Perform the Calculation**: Now, we perform the division: \[ v = 30 \text{ m/s} \] 5. **Conclusion**: The average speed of the car during the 5 seconds is **30 m/s**. ### Explanation of the Correct Option: - The correct answer is **B. 30 m/s**. This is because we calculated the average speed using the correct formula and substituted the correct values. ### Explanation of Why Other Options are Incorrect: - **A. 25 m/s**: This option is incorrect because it does not match the calculated average speed. If we were to calculate the average speed to be 25 m/s, the distance would have to be \( 25 \text{ m/s} \times 5 \text{ s} = 125 \text{ meters} \), which is not the case here. - **C. 15 m/s**: This option is also incorrect. If the average speed were 15 m/s, the distance would be \( 15 \text{ m/s} \times 5 \text{ s} = 75 \text{ meters} \), which is significantly less than the actual distance traveled. - **D. 20 m/s**: This option is incorrect as well. If the average speed were 20 m/s, the distance would be \( 20 \text{ m/s} \times 5 \text{ s} = 100 \text{ meters} \), which again does not match the actual distance traveled. ### Common Pitfalls: - **Confusing Speed with Velocity**: Remember that speed is a scalar quantity (only magnitude), while velocity is a vector quantity (magnitude and direction). In this problem, we are only concerned with speed. - **Miscalculating Time or Distance**: Always double-check the values given in the problem to ensure they are used correctly in calculations. ### Revision Summary: - Average speed is calculated using the formula \( v = \frac{d}{t} \). - For this problem, the average speed is \( 30 \text{ m/s} \). - Always ensure to use the correct values for distance and time. - Be cautious of confusing average speed with average velocity, as they are different concepts.