An aunt moves from point p to q along the circular track of radius 1m.If the time taken is 1 minute,what is the average velocity of the aunt?

To calculate the average velocity of the aunt, we need to determine the distance she covered and the time taken. In this case, we are given the time taken (1 minute), but we need to find the distance covered.

Since the aunt moves along a circular track, the distance covered is equal to the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

In this case, the radius of the circular track is given as 1m. So, the distance covered by the aunt is:

C = 2π * 1 = 2π meters

Now, we can calculate the average velocity using the formula:

Average velocity = Total distance / Total time

In this case, the total distance covered is 2π meters, and the total time taken is 1 minute. However, we need to convert the time to seconds before calculating the average velocity. There are 60 seconds in a minute.

Average velocity = 2π meters / (1 minute * 60 seconds/minute)

Simplifying this equation, we get:

Average velocity = 2π meters / 60 seconds

Therefore, the average velocity of the aunt is 2π/60 meters per second, which can be further simplified as π/30 meters per second.