Question

A person runs along a circular path of radius 5 m. If he completes half of the circle. Find the
magnitude of the displacement vetor, How far the person ran?
1) 10m, 5×3.14m
2)5×3.14
3) 5×3.14m, 19m
4) 14m, 10×3.14m​

Answer 1

Answer:

Step-by-step explanation:

3

Answer 2

Step-by-step explanation:

Let A & B represent the points of start and stop respectively, then we need to find the length of AB. Now the length of AB in circular path is the d = distance travelled, that is simply half of the circumference of the circle or:

d = 1/2 pi * d = pi * r = 5 pi m ≈ 15.71 m

The D = Displacement however is the direct path from A to B which is simply the diameter of the circle, thus:

D = 2*r = 10 m