Question

A body covers a distance of 4m along a quarter circle path. Then displacement is

Answer 1

Answer:

the displacement will be 0.

Explanation:

This is because of the reason that the body will return to the same point.

Answer 2

Given:

Distance = quarter of circle = 4m

To Find: Displacement of body

Calculation:

• Circumference of circle = 2πr
• Arc length for quarter of circle = $\frac{\pi r}{2}$
• Distance covered by the body = quarter of circle = 4
• $\frac{\pi r}{2} =4\\r=\frac{8}{\pi }$
• So, the line joining both the ends of quarter arc = chord of circle
• Displacement of body = Length of chord = $\sqrt{r^{2} +r^{2} }$ = $\frac{11.31}{\pi } =3.59m$

Answer:

Displacement of body = 3.59 m