A man walks 30 m towards north then 20 m towards east and last 30√2 m towards South West .The displacement from origin is.?

Question

Answer

Answer

Answer

Approx. 6.371

Answer

Given information:
- The man walks 30 m towards the north.
- Then, he walks 20 m towards the east.
- Finally, he walks 30√2 m towards the South West.

Analysis:
To find the displacement from the origin, we need to calculate the net distance and direction travelled by the man.

Calculations:
We can break down the given information into its components to simplify the calculations.

Step 1: Walking towards the north
- The man walks 30 m towards the north.
- This means he moves in the positive y-direction by 30 m.

Step 2: Walking towards the east
- The man walks 20 m towards the east.
- This means he moves in the positive x-direction by 20 m.

Step 3: Walking towards the South West
- The man walks 30√2 m towards the South West.
- This means he moves in the negative y-direction and negative x-direction simultaneously.
- The displacement in the y-direction is -30√2 m.
- The displacement in the x-direction is -30√2 m.

Net Distance:
To calculate the net distance, we need to find the magnitude of the displacement in both the x and y directions.

- Displacement in y-direction: -30√2 m
- Displacement in x-direction: -30√2 m

Using the Pythagorean theorem, we can calculate the net distance:

Net distance = √((-30√2)^2 + (-30√2)^2)
= √(900*2 + 900*2)
= √(1800 + 1800)
= √3600
= 60 m

Direction:
To find the direction of the displacement, we can use the tangent function:

Direction = tan^(-1)((-30√2)/(-30√2))
= tan^(-1)(1)
= 45°

Final Answer:
The displacement from the origin is 60 m in the direction of 45°.

Similar Class 11 Doubts

A person moves 30m north and then 20 m towards east and finally 30 root 2 m in South West direction. The displacement of the person from the origin ?

Let a cyclist start from his house . He travels 50 m along north and then 10m towards east and then 10√2 m in south wast direction. What is his displacement from his house?

An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?

A particle has displacement 12cm towards East and 9cm towards north and then 8 cm vertically upward. Find its total displacement ?

An aeroplane is flying with velocity 50 route to kilometre per hour in north east direction wind is blowing with 25 kilometre per hour form of to south what is the resultant displacement of aeroplane in 2 hours?

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test: Humanities Subjects 2025

English Class 11

Mathematics (Maths) Class 11

Psychology Practice Tests: CUET Preparation

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams