A jogger runs halfway around a circular path with a radius of 60.0 m.What,respectively,are the magnitude of the displacement and the distance jogged?
A)60.0 m,188 m
B)120 m,188 m
C)0 m,377 m
D)120 m,377 m
E)60.0 m,377 m

Question

A jogger runs halfway around a circular path with a radius of 60.0 m.What,respectively,are the magnitude of the displacement and the distance jogged?
A)60.0 m,188 m
B)120 m,188 m
C)0 m,377 m
D)120 m,377 m
E)​60.0 m,377 m

Quizplus · Accepted Answer

The magnitude of the displacement is equal to the diameter of the circle, which is equal to 2 times the radius. Therefore, the displacement is:

|displacement| = 2 × 60.0 m = 120 m

To find the distance jogged, we need to find the length of half the circumference of the circle. The circumference of a circle is given by:

C = 2πr

where r is the radius. Therefore, the length of half the circumference is:

(1/2)C = (1/2) × 2πr = πr

Substituting the value of the radius, we get:

distance jogged = π × 60.0 m = 188 m

Therefore, the best choice is (B) with a displacement of 120 m and a distance jogged of 188 m.

A Jogger Runs Halfway Around a Circular Path with a Radius