Question

A car travels 1/4th of a circle with radius r. Find the ratio of the distance to its displacement

Answer 1

Hey.

Here is the answer.

As car travels 1/4 the of a circle

so, distance covered , d = 1/4 of circumference

or, d = 1/4 × 2πr

or, d = 1/2 πr

Displacement :

As the displacement is shortest path between initial and final position

So , it will be the hypotenuse of the right angle triangle of both sides r.

So, D = √(r^2 + r^2) = √2r^2 = r√2

Hence ratio of d/D = 1/2 πr / r√2

= π / 2√2

or, d : D = π : 2√2

Thanks .