Question

A boy starts on the corner of a square field of side $a$. He chases a rabbit and finally catches it on the opposite corner of the field. Find his displacement in the process.

• A. $a$
• B. $2a$
• C. $\sqrt{2}a$
• D. $2\sqrt{2}a$

Answer 1

The correct option is C $\sqrt{2}a$

For a square, the diagonal length is square root of its side. The boy starts at a corner and ends up at the opposite corner. Hence, his displacement $\left(s\right)$ is equal to the diagonal of the square.
$s=\sqrt{2}a$