An automobile travel from point a to be a distance of 200 km in 4 hour...
Analysis of Automobile Motion:
- The automobile traveled from point A to B a distance of 200 km in 4 hours, and then back from B to A in 5 hours.
- To analyze the motion of the automobile, we need to calculate its average speed and average velocity for the entire journey.
Calculating Average Speed:
- Average speed is calculated by dividing the total distance traveled by the total time taken.
- Total distance traveled = 200 km + 200 km = 400 km
- Total time taken = 4 hours + 5 hours = 9 hours
- Average speed = Total distance / Total time = 400 km / 9 hours = 44.44 km/hr
Calculating Average Velocity:
- Average velocity is the displacement divided by the total time taken.
- Displacement for the entire journey is 0 km (since the car ended up at the same point where it started).
- Total time taken = 9 hours
- Average velocity = Displacement / Total time = 0 km / 9 hours = 0 km/hr
Explanation of Difference:
- The key difference between average speed and average velocity lies in their definitions.
- Average speed is the total distance traveled divided by the total time taken, regardless of direction.
- Average velocity, on the other hand, is the displacement (change in position) divided by the total time taken.
- In this case, the average speed is 44.44 km/hr, indicating the total distance covered per hour on average.
- The average velocity is 0 km/hr, as the displacement (change in position) for the entire journey is 0 km, even though the car covered a distance of 400 km.
- Therefore, average speed is a scalar quantity that does not consider direction, while average velocity is a vector quantity that takes direction into account.
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.