Question

Radius of a circular track is 100 metre. A girl has started cycling and stopped exactly at half of the track. Her displacement is *

1 point

100 metre

200 metre

628 metre

350 metre​

Answer 1

Answer:

200 m

Explanation:

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

• Radius of the circular track = 100 m
• A girl has started cycling and stopped exactly at half of the track.

We are asked to calculate her displacement.

Displacement is nothing but the shortest distance from initial to the final position. And, the shortest distance between two points is always a straight line.

Have a look at the diagram provided in the attachment! Suppose the girl starts from point A and she starts cycling and stops exactly at half of the track. Thus, final position is point B. Now, the shortest distance from point A to point B is AB, which is actually the diameter of the circular track. Henceforth, diameter of the track is the displacement. In order to find the displacement, we need to calculate the diameter of the track first.

$\longmapsto\rm {Displacement = Diameter }$

$\longmapsto\rm {Displacement = 2r }$

• r denotes radius, which is 100 m.

$\longmapsto\rm {Displacement = 2(100) \; m }$

$\longmapsto\bf {Displacement = 200 \; m }$

∴ Magnitude of the displacement is 200 m.