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Question 446 of 949

A car travels 150 meters to the east in 5 seconds. What is its average speed during this time interval?

  • 20 m/s
  • 30 m/s
  • 25 m/s
  • 15 m/s

Correct Answer: B

Explanation
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**. ### Why Option B is Correct: - The calculation shows that the average speed is 30 m/s, which corresponds to option B. This is the correct answer based on the formula and the values provided. ### Explanation of Other Options: - **Option A (20 m/s):** This is incorrect because it underestimates the average speed. If we had calculated \( \frac{150}{7.5} \), we would get 20 m/s, but that does not apply to our scenario. - **Option C (25 m/s):** This option is also incorrect. If we had calculated \( \frac{150}{6} \), we would get 25 m/s, but again, this does not match our time of 5 seconds. - **Option D (15 m/s):** This option is incorrect as well. If we had calculated \( \frac{150}{10} \), we would get 15 m/s, but this does not apply to our scenario either. ### Common Pitfalls: - **Misunderstanding Average Speed vs. Instantaneous Speed:** Average speed is calculated over a time interval, while instantaneous speed refers to the speed at a specific moment. - **Forgetting to Use the Correct Units:** Always ensure that distance is in meters and time is in seconds when calculating speed in m/s. - **Incorrectly Adding Distances or Times:** Ensure that you are using the total distance and total time for the calculation, not partial values. ### Revision Summary: - Average speed is calculated using the formula \( v = \frac{d}{t} \). - For a distance of 150 meters in 5 seconds, the average speed is 30 m/s. - The correct answer is option B (30 m/s). - Always check units and ensure you are using total distance and time for calculations.
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