Motion In Straight Line

Question

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The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to

$\sqrt{t}$

t

t²

t^3/2

Solution

As given the displacement of a body is given to be proportional to the cube of time elapsed.

s ∝ t³

s = k t³

velocity:- Velocity of an object is the rate of change of its position with respect to time.

v = $\frac{ds}{dt}$

= $\frac{d (k t^{3})}{dt}$

v = 3 kt²

Acceleration:- Acceleration is the rate of change of velocity with respect to time.

$α = \frac{dv}{dt}$

= $\frac{d}{dt} (3 k t^{2})$

$α$ = 6 kt

∴ $α \propto t$

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Motion In Straight Line

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to

$\sqrt{t}$

t

t²

t^3/2

Some More Questions From Motion in Straight Line Chapter

Is absolute rest or absolute motion possible?

What is the most essential thing to study the motion of a body?

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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For Daily Free Study Material Join wiredfaculty

Motion In Straight Line

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to t t t2 t3/2

Some More Questions From Motion in Straight Line Chapter

Is absolute rest or absolute motion possible?

What is the most essential thing to study the motion of a body?

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to

$\sqrt{t}$

t

t²

t^3/2

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.