Question

A body covered a distance of 10m along a semi circular path calculate the magnitude of displacement of the body and the ratio of distance to displacement

Answer 1

Answer:

Magnitude of displacement - πr = 10m

the ratio between the distance and displacement is

π:2

Explanation:

Given-

The distance covered on the semi-circular path is X meters. - 10m

To Find - The displacement of the body

Let r be the radius of the semicircular path

Since 10 is the distance along the semi-circular path,

So we can write

πr = 10

Now,

Displacement of the body = Distance between initial and final position = Diameter

Or, Displacement = 2r =20π

Now,

The ratio of distance to displacement =

10/20/π

After solving

Ratio = π:2

Hence the ratio between the distance and displacement is

π:2