Question
Download Solution PDFA car moves 100 m east and then 50 m west in 15 seconds. What is the magnitude of its average velocity?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 3.33 m/s.
Key Points
- Displacement is the shortest distance between the initial and final positions of an object, considering the direction.
- In this case, the car moves 100 m east and 50 m west, resulting in a net displacement of 50 m east.
- The time taken for the motion is 15 seconds.
- Average velocity is calculated using the formula: Average Velocity = Displacement / Time.
- Substituting the values: Average Velocity = 50 m / 15 s = 3.33 m/s.
Additional Information
- Displacement vs Distance:
- Distance is the total path covered by an object irrespective of direction.
- Displacement is a vector quantity that considers both magnitude and direction, representing the shortest path.
- Velocity vs Speed:
- Speed is a scalar quantity representing how fast an object moves.
- Velocity is a vector quantity that specifies both the speed and direction of motion.
- Formula for Average Velocity:
- The average velocity is given by: Average Velocity = Total Displacement / Total Time.
- If displacement is zero, the average velocity is also zero, regardless of the distance covered.
- SI Unit:
- The SI unit of velocity is meters per second (m/s).
Last updated on Apr 24, 2025
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