Motion In Straight Line

Question

A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d The average speed for this round trip is

$\frac{2 ν_{d} ν_{u}}{ν_{d} + ν_{u}}$

$\sqrt{v_{u} v_{d}}$

$\frac{v_{d} v_{u}}{v_{d} + v_{u}}$

$\frac{v_{u} + v_{d}}{2}$

Solution

$\frac{2 ν_{d} ν_{u}}{ν_{d} + ν_{u}}$

Average velocity is defined as the change in position or displacement divided by the time intervals ( Δt ) in which displacement occurs.

$\vec{v} = \frac{∆ x}{∆ t}$

Let t₁ and t₂ times taken by the car to go from X to Y and then from Y to X respectively.

$t_{1} + t_{2} = \frac{XY}{v_{u}} + \frac{XY}{v_{d}} t_{1} + t_{2} = XY (\frac{v_{u} + v_{d}}{v_{u} v_{d}})$

Total distance travelled = XY + XY

= 2XY

Therefore, average speed of the car for this round trip is

$v_{av} = \frac{2 XY}{XY (\frac{v_{u} + v_{d}}{v_{u} v_{d}})} \Rightarrow v_{av} = \frac{2 v_{u} v_{d}}{v_{u} + v_{d}}$

Some More Questions From Motion in Straight Line Chapter

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

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.

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Motion In Straight Line

A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d The average speed for this round trip is

$\frac{2 ν_{d} ν_{u}}{ν_{d} + ν_{u}}$

$\sqrt{v_{u} v_{d}}$

$\frac{v_{d} v_{u}}{v_{d} + v_{u}}$

$\frac{v_{u} + v_{d}}{2}$

Some More Questions From Motion in Straight Line Chapter

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

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.

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Motion In Straight Line

A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd The average speed for this round trip is 2 νd νuνd + νu vu vd vd vuvd + vu vu + vd2

Some More Questions From Motion in Straight Line Chapter

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d The average speed for this round trip is

$\frac{2 ν_{d} ν_{u}}{ν_{d} + ν_{u}}$

$\sqrt{v_{u} v_{d}}$

$\frac{v_{d} v_{u}}{v_{d} + v_{u}}$

$\frac{v_{u} + v_{d}}{2}$

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.