Question

Can you please answer this question ​

Answer 1

Answer:

(4) Distance is 5(pi)R and displacement is 2R

Explanation:

After 2 and 1/2 revolutions,

Distance= 2.5*(circumference)=5(pi)R

The body will be at the diametrically opposite end after 2 and 1/2 revolutions. Thus, displacement= 2R Because displacement is the shortest distance between initial and final point.

Answer 2

The total length of the circular path is,

$\longrightarrow\sf{P=2\pi r}$

So that the distance travelled in one revolution of the body $\sf{=2\pi r.}$

If the body completes two and a half revolution, the total distance travelled is,

$\longrightarrow\sf{d=2\pi r\left(2+\dfrac{1}{2}\right)}$

$\longrightarrow\sf{d=2\pi r\times\dfrac{5}{2}}$

$\longrightarrow\sf{\underline{\underline{d=5\pi r}}}$

After completing two and a half revolution, the body will be at a point diametrically opposite to its initial position.

Hence the displacement of the body will be equal to the diameter of its circular path, i.e.,

$\longrightarrow\sf{\underline{\underline{s=2r}}}$

Hence, distance is 5πr and displacement is 2r.