Match each movement sequence in Column I with its correct final position or facing directi… — State PSC Exam

Match each movement sequence in Column I with its correct final position or facing direction in Column II.

A person walks $8\text{ m}$ North, turns right and walks $6\text{ m}$ , then turns right and walks $8\text{ m}$ . $6\text{ m}$ East of the starting point
A person walks $5\text{ m}$ East, turns left and walks $12\text{ m}$ , then turns left and walks $5\text{ m}$ . $12\text{ m}$ North of the starting point
A person facing South turns $135^\circ$ anti-clockwise, and then turns $180^\circ$ clockwise.Facing South-West direction
At sunrise, a person walks towards their shadow for $10\text{ m}$ , turns left and walks $10\text{ m}$ . $10\sqrt{2}\text{ m}$ South-West of the starting point

Answer

Sequence 1 matches with 6 m East of the starting point; Sequence 2 matches with 12 m North of the starting point; Sequence 3 matches with Facing South-West direction; Sequence 4 matches with 10√2 m South-West of the starting point.

Each movement sequence correctly matches its geometric displacement vector or facing direction by tracking cardinal axes and angular rotations step-by-step.

Step-by-Step Solution

Analyze Sequence 1

Displacement:

+8\text{ m}

(North),

+6\text{ m}

(East),

-8\text{ m}

(South). Net displacement =

(6, 0)

, which is

6\text{ m}

East of start.

Opposite North and South movements cancel each other out.

Analyze Sequence 2

Displacement:

+5\text{ m}

(East),

+12\text{ m}

(North),

-5\text{ m}

(West). Net displacement =

(0, 12)

, which is

12\text{ m}

North of start.

Opposite East and West movements cancel each other out.

Analyze Sequence 3

Initial direction = South (

180^\circ

). Anti-clockwise turn of

135^\circ

gives North-East (

45^\circ

). Clockwise turn of

180^\circ

gives South-West (

225^\circ

180^\circ

rotation reverses the current facing direction.

Analyze Sequence 4

At sunrise, sun is in East, shadow is West. Walking

10\text{ m}

West and

10\text{ m}

South gives displacement

(-10, -10)

. Distance =

\sqrt{10^2 + 10^2} = 10\sqrt{2}\text{ m}

towards South-West.

Using the Pythagorean theorem for perpendicular displacements along cardinal axes.

Key Concept

Direction and Distance Test

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic