Question

A girl on a bicycle takes 15.0s to ride half way around a circular track of radius 10.0 m. What is the girl's average speed? What is the magnitude of her average velocity ?

Answer 1

`s_(avg)= (2 \pi)/(3) \approx 2.09 \ m/s`

`v_(avg)=(4)/(3) \approx 1.33 \ m/s`

Step-by-step explanation:

To find the girl's average speed and average velocity, we can use the following formulas:

`s_(avg)= (\pi r)/(t) \\\\ \\v_(avg)= (2r)/(t)\\\\\\ \hrule`

(A) - Finding the average speed.

`\Longrightarrow s_(avg)= (\pi(10.0))/(15.0)\\\\\\\therefore \boxed{s_(avg)= (2 \pi)/(3) \approx 2.09 \ m/s}`

(B) - Finding the average velocity.

`\Longrightarrow v_(avg)= (2(10.0))/(15.0)\\\\\\\therefore \boxed{v_(avg)=(4)/(3) \approx 1.33 \ m/s }`

Thus, the problem is solved.