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Question

Reshma swims back and forth in a 120 m long pool, covering a total distance of 240 m in 1 minute. What is her average velocity?

The correct answer is
0 m/s

Average Velocity Calculation

The question asks for the average velocity of Reshma. It's important to distinguish between average velocity and average speed.

  • Average speed is calculated using the total distance covered divided by the time taken.
  • Average velocity is calculated using the total displacement divided by the time taken. Displacement is the net change in position from the start point to the end point.

Understanding Displacement

Reshma swims in a 120 m long pool. She covers a total distance of 240 m. This means she swam the length of the pool (120 m) and then swam back to her starting point (another 120 m). Since she finished at her starting point, her net change in position (displacement) is 0 meters.

Calculating Average Velocity

The formula for average velocity ($v_{avg}$) is:

$ v_{avg} = \frac{\text{Displacement}}{\text{Time}} = \frac{\Delta x}{\Delta t} $

Given:

  • Displacement ($\Delta x$) = 0 m (since she returned to the starting point)
  • Time ($\Delta t$) = 1 minute = 60 seconds

Substitute the values into the formula:

$ v_{avg} = \frac{0 \text{ m}}{60 \text{ s}} $

$ v_{avg} = 0 \text{ m/s} $

Therefore, Reshma's average velocity is 0 m/s.

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Important Questions from Speed and Velocity

  1. The given equation provides the property of the motion of an object, traversing a circular path. What is ‘v’ in this equation?

    ac = v2/R

  2. The basic unit of speed of an object is ______.

  3. Which of the following quantities specifies its speed with direction?

  4. Which of the following represents non-uniform linear velocity?
  5. Which of the following describes the nature of the average speed?
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