Two particles are moving along two long straight lines in the same plane

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two particles are moving along two long straight lines in the same plane, with the same speed of

20\ \text{cm/s}

. The angle between the two lines is

60^\circ

, and their intersection point is

O

. At a certain moment, the two particles are at distances

3\ \text{m}

and

4\ \text{m}

from

O

and are moving towards

O

. Subsequently, the shortest distance between them will be (1)

50\ \text{cm}

(2)

40\sqrt{2}\ \text{cm}

(3)

50\sqrt{2}\ \text{cm}

(4)

50\sqrt{3}\ \text{cm}