Motion In Straight Line

Question

A three-wheeler starts from rest, accelerates uniformly with 1 m s^-2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1,2,3….) versus n. What do you expect this plot to be during accelerated motion : a straight line or a parabola ?

Solution

Distance space covered space by space straight a space body space in space straight n to the power of th second space is space given space by space the space relation comma straight S subscript straight n space end subscript equals space straight u space plus space straight a fraction numerator space left parenthesis 2 straight n space minus space 1 right parenthesis over denominator 2 end fraction space space space space space space space space space... left parenthesis straight i right parenthesis space where comma space straight u space equals space Initial space velocity comma straight a space equals space acceleration comma space straight n space equals space time space intervals space equals space 1 comma 2 comma 3 comma... straight n Here space we space have comma space straight u space equals space 0 space and space straight a space equals space 1 space straight m divided by straight s squared Therefore comma space straight S subscript straight n space equals fraction numerator space left parenthesis 2 straight n space minus space 1 right parenthesis space over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space... space left parenthesis ii right parenthesis space This space relation space shows comma space straight S subscript straight n space proportional to space straight n space space space space space space space space space space space space space space space... space left parenthesis iii right parenthesis space

Now, putting different values of n in equation (3), we have

n	1	2	3	4	5	6	7	8	9	10
S_n	0.5	1.5	2.5	3.5	4.5	5.5	6.5	7.5	8.5	9.5

The graph between S_n and n will be a straight line as shown in the figure below.

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

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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For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

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

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.