A particle travels half of distance with velocity v₁ and next half with velocity v₂. Find the average velocity of motion.

Solution

Let the particle travel a total distance of 2S.

Distance covered in first half is S with a velocity v₁ and next half with velocity v₂.

Time taken to travel first half distance is, $t_{1} = \frac{S}{ν_{1}}$

Time taken to travel second half distance is, $t_{2} = \frac{S}{v_{2}}$

Total time taken to travel 25 distance is,

$t = t_{1} + t_{2} = \frac{S}{v 1} + \frac{S}{v_{2}} = \frac{S (v_{1} + v_{2})}{v_{1} v_{2}}$

$∴$ Average velocity = $\frac{Total distance travelled}{Total time taken}$

$= \frac{2 S}{S \frac{v_{1} + v_{2}}{v_{1} v_{2}}} = \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

A particle travels half of distance with velocity v₁ and next half with velocity v₂. Find the average velocity of motion.

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

A particle travels half of distance with velocity v1 and next half with velocity v2. Find the average velocity of motion.

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: (a) A kite flying in the sky. (b) The earth revolving around the sun. (c) A train moving along the equator of the earth in clockwise direction. (d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A particle travels half of distance with velocity v₁ and next half with velocity v₂. Find the average velocity of motion.

State which of the following are examples of one, two or three dimensional motion:

(a) A kite flying in the sky.

(b) The earth revolving around the sun.

(c) A train moving along the equator of the earth in clockwise direction.

(d) Accelerated motion of a particle in a straight line.