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11th West Bengal Board
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The velocity-displacement graph of a particle moving along a straight line is shown in Fig. Which one of the following acceleration-distance graphs corresponds to the velocity-distance graph?

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Important Questions on Motion of a Particle

HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 75

A particle starts from rest. Its acceleration a versus time t graph is shown in the Figure  . The maximum speed attained by the particle is

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MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 76
A body is at rest at x=0. At t=0, it starts moving in the positive x-direction with a constant acceleration. At the same instant, another body passes through x=0 moving in the positive x-direction with a constant speed. The position of the first body is given by x1t after time t and that of the second body by x2t after the same time interval. Which of the following graphs in Fig.correctly describes x2-x1 as a function of time?
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 77
A small block slides down a smooth inclined plane, starting from rest at time t=0. Let sn is the distance travelled by the block in the interval t=n-1 to t=n. Then, the ratio snsn+1 is:
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 78
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal . When the particle lands on the level ground , the magnitude of the change in it's momentum will be 
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 79
Two particles are projected simultaneously in the same vertical plane from the same point, with different speeds u1 and u2 making angles θ1 and θ2 respectively with the horizontal, such that u1 cos θ1=u2 cos θ2. The path followed by one, as seen by the other (as long as both are in flight), is
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 80

A ball falls freely on a perfectly elastic plate from a certain height. The collision with the ground is elastic and so the ball rebounds with the same velocity almost instantaneously. The velocity-time curve for the successive rebounds of the ball is from Fig.

 

HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 81

The velocity-time curve is shown in Fig.The corresponding acceleration time curve will be

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HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 5 - Motion of a Particle>EXERCISE>Q 82
A stone falling from the top of a vertical tower has descended xm when another is let fall from a point y m below the top. If they fall from rest and reach the ground together, show that the height of the tower is