Question

please give me answer with correct explanation​

Answer 1

Answer:

Given:

A particle moves from A to B producing an arc of 60° at the centre.

To find:

The distance travelled by the car.

Concept:

Distance is defined as the actual path length travelled by the car in the specified time interval. It's a scalar Quantity having only magnitude and no Direction.

Here the car makes an arc of 60° at the centre.

We know that Whole angle around a point is 360° , so the car travelled :

$\boxed{ \red{ \bold{ \large{ = > \dfrac{60 \degree}{360 \degree} = \dfrac{1}{6} }}}}$

1/6 parts of a whole circle.

Calculation:

Distance travelled be s

$\boxed{ \blue{ \bold{s = \dfrac{1}{6} ( 2\pi R ) = \frac{\pi R }{3} }}}$

So option a) is correct.