Motion In Straight Line

Question

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A car starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t. The maximum velocity of car is given by :

$\frac{a b t}{(a + b)}$

$\frac{a^{2} t}{a + b}$

$\frac{a t}{(a + b)}$

$\frac{b^{2} t}{a + b}$

Solution

$\frac{a b t}{(a + b)}$

Let car accelerates for time t₁ and decelerates for time t₂ then

t₁ + t₂ = t

From ν = u + at

v = u + at₁

at₁ = bt₂

$\Rightarrow t_{2} = \frac{{at}_{1}}{b} ∴ t_{1} + \frac{{at}_{1}}{b} = 1 \Rightarrow t_{1} (1 + \frac{a}{b}) = t \Rightarrow t_{1} = \frac{bt}{a + b} ∴ t_{1} = \frac{bt}{a + b} ∴ Maximum velocity of car v = {at}_{1} = \frac{a b t}{a + b}$

Some More Questions From Motion in Straight Line Chapter

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 starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t. The maximum velocity of car is given by :

$\frac{a b t}{(a + b)}$

$\frac{a^{2} t}{a + b}$

$\frac{a t}{(a + b)}$

$\frac{b^{2} t}{a + b}$

Some More Questions From Motion in Straight Line Chapter

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.

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

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Motion In Straight Line

A car starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t. The maximum velocity of car is given by : a b ta + b a2 ta + b a ta+ b b2 ta+b

Some More Questions From Motion in Straight Line Chapter

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.

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

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A car starts from rest, moves with an acceleration a and then decelerates at a constant rate b for sometimes to come to rest. If the total time taken is t. The maximum velocity of car is given by :

$\frac{a b t}{(a + b)}$

$\frac{a^{2} t}{a + b}$

$\frac{a t}{(a + b)}$

$\frac{b^{2} t}{a + b}$

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.