Rankers Physics
Topic: Kinematics
Subtopic: 1. Distance and Displacement

A person moves 30 m north and then 20 m towards east and finally 30√2 min south -west direction. The displacement of the person from the origin will be
10 m along north
10 m along south
10 m along west
zero

Solution:

1. Movement 1: 30 m North \( \text{Displacement}_1 = 30 \hat{j} \)

2. Movement 2: 20 m East \( \text{Displacement}_2 = 20 \hat{i} \)

3. Movement 3: \( 30\sqrt{2}\) m Southwest  \( \text{Displacement}_3 = -30 \hat{i} - 30 \hat{j} \)

Total Displacement: \(
\text{Total Displacement} = (20 \hat{i} + 30 \hat{j}) + (-30 \hat{i} - 30 \hat{j}) = -10 \hat{i} + 0 \hat{j} \)

Displacement = 10 m West

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