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PHXI03:MOTION IN A STRAIGHT LINE

362150 Statement A :
A particle may be momentarily at rest and yet have non - zero acceleration.
Statement B :
The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both Statements are correct.

4 Both Statements are incorrect.

PHXI03:MOTION IN A STRAIGHT LINE

362151 Assertion :
A body may be accelerated even when it is moving at uniform speed.
Reason :
When direction of motion of the body is changing then body may have acceleration.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI03:MOTION IN A STRAIGHT LINE

362152 $a - t$ graph for a particle moving in a straight line is as shown in figure. Change in velocity of the particle from $t = 0$ to $t = 6$ sec is
supporting img

1

10 m / s

2

4 m / s

3

12 m / s

4

8 m / s

Explanation:

$Δ v = A r e a = \frac{1}{2} \times 4 \times 4 - \frac{1}{2} \times 2 \times 4 = 4 m / s$

PHXI03:MOTION IN A STRAIGHT LINE

362153 A particle moves a distance $x$ in time $t$ according to equation $x = {(t + 5)}^{- 1}$ . The acceleration of particle is proportional to

1

{(V e l o c i t y)}^{3 / 2}

2

{(D i s t a n c e)}^{2}

3

{(D i s t a n c e)}^{- 2}

4

{(V e l o c i t y)}^{2 / 3}

Explanation:

$x = \frac{1}{t + 5} \Rightarrow v = \frac{d x}{d t} = - \frac{1}{{(t + 5)}^{2}}$
Acceleration,
$a = \frac{d v}{d t} = \frac{2}{{(t + 5)}^{3}} \Rightarrow a α {(v e l o c i t y)}^{3 / 2} .$

PHXI03:MOTION IN A STRAIGHT LINE

362150 Statement A :
A particle may be momentarily at rest and yet have non - zero acceleration.
Statement B :
The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both Statements are correct.

4 Both Statements are incorrect.

PHXI03:MOTION IN A STRAIGHT LINE

362151 Assertion :
A body may be accelerated even when it is moving at uniform speed.
Reason :
When direction of motion of the body is changing then body may have acceleration.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI03:MOTION IN A STRAIGHT LINE

362152 $a - t$ graph for a particle moving in a straight line is as shown in figure. Change in velocity of the particle from $t = 0$ to $t = 6$ sec is
supporting img

1

10 m / s

2

4 m / s

3

12 m / s

4

8 m / s

Explanation:

$Δ v = A r e a = \frac{1}{2} \times 4 \times 4 - \frac{1}{2} \times 2 \times 4 = 4 m / s$

PHXI03:MOTION IN A STRAIGHT LINE

362153 A particle moves a distance $x$ in time $t$ according to equation $x = {(t + 5)}^{- 1}$ . The acceleration of particle is proportional to

1

{(V e l o c i t y)}^{3 / 2}

2

{(D i s t a n c e)}^{2}

3

{(D i s t a n c e)}^{- 2}

4

{(V e l o c i t y)}^{2 / 3}

Explanation:

$x = \frac{1}{t + 5} \Rightarrow v = \frac{d x}{d t} = - \frac{1}{{(t + 5)}^{2}}$
Acceleration,
$a = \frac{d v}{d t} = \frac{2}{{(t + 5)}^{3}} \Rightarrow a α {(v e l o c i t y)}^{3 / 2} .$

PHXI03:MOTION IN A STRAIGHT LINE

362150 Statement A :
A particle may be momentarily at rest and yet have non - zero acceleration.
Statement B :
The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both Statements are correct.

4 Both Statements are incorrect.

PHXI03:MOTION IN A STRAIGHT LINE

362151 Assertion :
A body may be accelerated even when it is moving at uniform speed.
Reason :
When direction of motion of the body is changing then body may have acceleration.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI03:MOTION IN A STRAIGHT LINE

362152 $a - t$ graph for a particle moving in a straight line is as shown in figure. Change in velocity of the particle from $t = 0$ to $t = 6$ sec is
supporting img

1

10 m / s

2

4 m / s

3

12 m / s

4

8 m / s

Explanation:

$Δ v = A r e a = \frac{1}{2} \times 4 \times 4 - \frac{1}{2} \times 2 \times 4 = 4 m / s$

PHXI03:MOTION IN A STRAIGHT LINE

362153 A particle moves a distance $x$ in time $t$ according to equation $x = {(t + 5)}^{- 1}$ . The acceleration of particle is proportional to

1

{(V e l o c i t y)}^{3 / 2}

2

{(D i s t a n c e)}^{2}

3

{(D i s t a n c e)}^{- 2}

4

{(V e l o c i t y)}^{2 / 3}

Explanation:

$x = \frac{1}{t + 5} \Rightarrow v = \frac{d x}{d t} = - \frac{1}{{(t + 5)}^{2}}$
Acceleration,
$a = \frac{d v}{d t} = \frac{2}{{(t + 5)}^{3}} \Rightarrow a α {(v e l o c i t y)}^{3 / 2} .$

PHXI03:MOTION IN A STRAIGHT LINE

362150 Statement A :
A particle may be momentarily at rest and yet have non - zero acceleration.
Statement B :
The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both Statements are correct.

4 Both Statements are incorrect.

PHXI03:MOTION IN A STRAIGHT LINE

362151 Assertion :
A body may be accelerated even when it is moving at uniform speed.
Reason :
When direction of motion of the body is changing then body may have acceleration.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI03:MOTION IN A STRAIGHT LINE

362152 $a - t$ graph for a particle moving in a straight line is as shown in figure. Change in velocity of the particle from $t = 0$ to $t = 6$ sec is
supporting img

1

10 m / s

2

4 m / s

3

12 m / s

4

8 m / s

Explanation:

$Δ v = A r e a = \frac{1}{2} \times 4 \times 4 - \frac{1}{2} \times 2 \times 4 = 4 m / s$

PHXI03:MOTION IN A STRAIGHT LINE

362153 A particle moves a distance $x$ in time $t$ according to equation $x = {(t + 5)}^{- 1}$ . The acceleration of particle is proportional to

1

{(V e l o c i t y)}^{3 / 2}

2

{(D i s t a n c e)}^{2}

3

{(D i s t a n c e)}^{- 2}

4

{(V e l o c i t y)}^{2 / 3}

Explanation:

$x = \frac{1}{t + 5} \Rightarrow v = \frac{d x}{d t} = - \frac{1}{{(t + 5)}^{2}}$
Acceleration,
$a = \frac{d v}{d t} = \frac{2}{{(t + 5)}^{3}} \Rightarrow a α {(v e l o c i t y)}^{3 / 2} .$

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