Find the resultant of two velocities 3m/s along east and 4m/s along north?

Question

Answer

Finding the Resultant of Two Velocities

When two velocities act on an object at the same time, the resultant velocity is the vector sum of the two velocities. To find the resultant velocity, we need to:

Identify the direction and magnitude of each velocity

Convert the velocities into vector form

Add the vectors using vector addition

Find the magnitude and direction of the resultant vector

Given Information:

Velocity 1: 3m/s along east

Velocity 2: 4m/s along north

Converting Velocities into Vector Form

We can represent the given velocities as vectors in a two-dimensional coordinate system, where:

East is the positive x-axis

North is the positive y-axis

Velocity 1 can be represented as:

v1 = 3m/s i

where i is the unit vector in the direction of the positive x-axis.

Velocity 2 can be represented as:

v2 = 4m/s j

where j is the unit vector in the direction of the positive y-axis.

Adding the Vectors using Vector Addition

We can add the vectors using vector addition, where:

v = v1 + v2

Substituting the values of v1 and v2, we get:

v = 3m/s i + 4m/s j

We can represent v as a vector in the same coordinate system:

v = 3m/s i + 4m/s j = (3,4)

Finding the Magnitude and Direction of the Resultant Vector

The magnitude of the resultant vector can be found using the Pythagorean theorem:

|v| = sqrt(3^2 + 4^2) = 5m/s

The direction of the resultant vector can be found using trigonometry:

tan(theta) = 4/3

theta = tan^-1(4/3) = 53.13 degrees

Therefore, the resultant velocity is 5m/s at an angle of 53.13 degrees north of east.

Answer

The Answer is 5. Either we use Head- tail method or Parallelogram law the answer will be same. Using Parallelogram law we can also find out its direction.Hope it helps.<img src='https://edurev.gumlet.io/ApplicationImages/Temp/5172993_523b3def-dfe7-4ad8-af6a-aa4d6c18af1a_lg.jpg' style='max-height: 400px;' />

Answer

5/2

Answer

Answer is 5

Similar Class 11 Doubts

Find the reasultant of two velocitys 3m/s along east and 4m/s along north?

A man moves 4 m along east direction,then 3m along north direction,after that he climbs up a pole to height of 12m.find the distance covered by him and his displacement?

Two forces of f1=500N due east &f2=250N due north find f2-f1?

A body moves 6m north 8m east and 10m vertically upwards the resultant displacement from its initial position is?

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?

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test Series

English Class 11

Chemistry Practice Tests: CUET Preparation

CUET Mock Test: Humanities Subjects 2025

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams