Question

A girl swimsin a 90m long pool. She cover 180m in one minute by swimming form one end to the other and back along the same straight path. Find her average speed and average velocity.​

Answer 1

Answer:

Average speed = 3 m/s

Average velocity = 0 m/s

Explanation:

As per the provided informing in the given question, we have :

• A girl swims in a 90m long pool.
• She covers 180 m in one minute by swimming form one end to the other and back along the same straight path.

We are asked to calculate the average speed and average velocity.

Calculating average speed :

Average speed refers to the total distance divided by total time taken.

$\longmapsto \bf {Speed_{(avg)} = \dfrac{Total \; distance}{Total \; time} }$

Finding total distance :

As it is given that the length of pool is 90 m and she swims form one end to the other and back along the same straight path. So, total distance covered will be,

⇒ Total distance covered = 90 m + 90 m

⇒ Total distance covered = 180 m

Finding total time :

In the question, it is also given that she covers 180 m in one minute by swimming form one end to the other and back along the same straight path. So,

⇒ Total time = 1 minute

⇒ Total time = 60 seconds

Now, substitute the values in the formula of average speed :

$\longmapsto \rm {Speed_{(avg)} = \dfrac{180 \; m}{60 \; s} }$

$\longmapsto \bf {Speed_{(avg)} = 3 \; ms^{-1} }$

∴ The average speed is 3 m/s.

$\rule{200}2$

Calculating average velocity :

Average velocity refers to the total displacement divided by total time taken.

$\longmapsto \bf {Velocity_{(avg)} = \dfrac{Total \; displacement}{Total \; time} }$

Here, total displacement will be 0 become she comes back again to its initial position after covering certain distance. This means, her initial position and final position is same. So, total displacement is 0.

Total time is 60 s as we found it in first part of the question.

$\longmapsto \rm {Velocity_{(avg)} = \dfrac{0 \; m}{60 \; s} }$

$\longmapsto \bf {Velocity_{(avg)} = 0 \; ms^{-1}}$

∴ The average velocity is 0 m/s.

Answer 2

Explanation:

Average speed = 3 m/s

Average speed = 3 m/sAverage velocity = 0 m/s

Average speed = 3 m/sAverage velocity = 0 m/sExplanation:As per the provided informing in the given question, we have :

A girl swims in a 90m long pool.

Average speed = 3 m/sAverage velocity = 0 m/sExplanation:As per the provided informing in the given question, we have :

We are asked to calculate the average speed and average velocity.

Calculating average speed:

Average speed refers to the total distance divided by total time Taken.

⟼Speed(Avg) = Total distance / Total Time

Finding total distance :

Finding total distance :As it is given that the length of pool is 90 m and she swims form one end to the other and back along the same straight path. So, total distance covered will be,

⇒ Total distance covered = 90 m + 90 m

⇒ Total distance covered = 180 m

Finding total time :

Finding total time :In the question, it is also given that she covers 180 m in one minute by swimming form one end to the other and back along the same straight path. So,⇒ Total time =

1 minute⇒60seconds

Now, substitute the values in the formula of average speed :

⟼ Speed(Avg) = 180m / 60s

⟼Speed(Avg) = 3ms-¹

∴ The average speed is 3 m/s.

Calculating average velocity : Average velocity refers to the total displacement divided by total time taken.

⟼Velocity(avg) = Total Displacement / Total time

Here, total displacement will be 0 become she comes back again to its initial position after covering certain distance. This means, her initial position and final position is same. So, total displacement is 0.

Total time is 60 s as we found it in first part of the question.

⟼Velocity(Avg) = 0 / 60s

⟼Velocity(Avg) = 0ms-¹

∴ The average velocity is 0 m/s

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