Question

An athlete runs around a circular path of circumference 360 m in 1 min and reaches the starting point. The average speed and average velocity is​

Answer 1

Answer:

Average speed = 6 m/s

Average velocity = 0 m/s

Explanation:

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

• An athlete runs around a circular path of circumference 360 m in 1 min and reaches the starting point.

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

Calculating average speed :

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

Here, the body covers 1 round of the circular path. Henceforth, total length of the boundary circular path will be the total distance travelled. The total length of the boundary circular path is the perimeter of the circular path or the circumference. Total time taken is 1 minute which is equivalent to 60 seconds.

$\longmapsto \rm { Speed_{(avg)} = \dfrac{Circumference}{1 \; min} }$

$\longmapsto \rm { Speed_{(avg)} = \dfrac{360 \; m}{60 \; s} }$

$\longmapsto \bf { Speed_{(avg)} = 6 \; ms^{-1} }$

∴ The average speed is 6 m/s.

Calculating average velocity :

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

Here, the body covers 1 round of the circular path, and comes back again to its initial position after covering certain distance. So, the total displacement will be 0 as its initial position and final position is same.

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

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

∴ The magnitude of average velocity is 0 m/s.

Answer 2

Answer:

Average speed of athlete 6 m/second and Average velocity of athlete is zero.

Explanation:

Given that :

• Circumference of circular track = 360 m
• Time taken to cover track = 1 min = 60 sec

To find :

• Average Speed of athelete.
• Average velocity of athelete.

Solution :

• Total distance travelled by the athelete is equal to circumference of circular track.
• Total displacement of athelete is zero. (Since displacement is shortest distance between two points and athelete reaches the same point from where he has started after completing a full circle.)
• The average speed of the athelete is

$average \: speed \: = \frac{total \: distance \: travelled}{total \: time \: taken} \\ = \frac{360}{60} \\ = 6 \: m/sec$

• The average velocity of athelete is

$average \: velocity = \frac{total \: displacement}{total \: time} \\ = \frac{0}{60} \\ = 0 \: m/sec$

• Hence, average speed of athlete is 6 m/second and average velocity of athlete is zero.