Chapter 2 - Kinematics: Description of Motion - Learning Path Questions and Exercises - Exercises - Page 60: 8

(a) (2) (b) $70.71\,\mathrm{m}$

(a) The magnitude of displacement is shown in the figure as $d$, and can be evaluated as $d=R\,/\cos45^{\circ}=\sqrt{2}R$. Thus, it is (2) greater than $R$ but less than $2R$. (b) For $R=50\,\mathrm{m}$, $d=\sqrt{2}R=70.71\,\mathrm{m}$