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Preethi walks 2 km East for 20 minutes.  Then she turns right and runs 3 km South in 10 minutes.  Then she again turns and walks 2 km West for 30 minutes.  Then:Preethi Average Velocity is 7 km/h SouthPreethi Average Velocity is 5 km/h South EastPreethi Average Velocity is 5 km/h South WestPreethi Average Velocity is 3 km/h South

Question

Preethi walks 2 km East for 20 minutes.  Then she turns right and runs 3 km South in 10 minutes.  Then she again turns and walks 2 km West for 30 minutes.  Then:Preethi Average Velocity is 7 km/h SouthPreethi Average Velocity is 5 km/h South EastPreethi Average Velocity is 5 km/h South WestPreethi Average Velocity is 3 km/h South

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Solution

The question seems to be asking for the average velocity of Preethi's journey. To calculate this, we need to understand the total displacement (change in position) and the total time taken.

  1. Preethi starts by walking 2 km East. This takes her 20 minutes, or 1/3 of an hour.
  2. She then turns right (which would be South if she was initially going East) and runs 3 km. This takes her 10 minutes, or 1/6 of an hour.
  3. She then turns and walks 2 km West. This takes her 30 minutes, or 1/2 an hour.

The total time taken is 1/3 + 1/6 + 1/2 = 1 hour.

In terms of displacement, Preethi ends up 3 km South of her starting position (the East and West movements cancel each other out).

Average velocity is total displacement divided by total time. In this case, that's 3 km divided by 1 hour, or 3 km/h.

The direction of the average velocity is the direction of the total displacement, which is South.

So, the correct answer is: Preethi Average Velocity is 3 km/h South.

This problem has been solved

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Preethi walks 2 km East for 20 minutes.  Then she turns right and runs 3 km South in 10 minutes.  Then she again turns and walks 2 km West for 30 minutes.

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1/3

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