Consider the motion of the tip of the second hand of a clock. In one minute (assuming R to be the length of the second hand), its

1. displacement is 2πR.

2. distance covered is 2R.

3. displacement is zero.

4. distance covered is zero.

Subtopic:  Position & Displacement |
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The position of a moving particle at time t is r=3i^+4t2j^-t3k^. Its displacement during the time interval t = 1 sec to t = 3 sec will be

1. j^-k^

2. 3i^-4j^-k^

3. 9i^+36j^-27k^

4. 32j^-26k^

Subtopic:  Position & Displacement |
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Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in the figure. The correct relationship among the magnitude of the displacement vector for three girls will be

1.  A>B>C

2. C>A>B

3. B>A>C

4. A=B=C

Subtopic:  Position & Displacement |
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A particle starting from the point (1, 2) moves in a straight line in the XY plane. Its coordinates at a later time are (2, 3). The path of the particle makes, with the x-axis, an angle of

1. 30° 

2. 45°

3. 60° 

4. data insufficient

Subtopic:  Position & Displacement |
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A cat is situated at point A (0, 3, 4) and a rat is situated at point B (5, 3, -8). The cat is free to move but the rat is always at rest. The minimum distance traveled by the cat to catch the rat is:

1. 5 unit

2. 12 unit

3. 13 unit

4. 17 unit

Subtopic:  Position & Displacement |
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A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (3, 3). The path of the particle makes an angle of .......................with the x-axis :

1. 30o

2. 45o

3. 60o

4. 0o

Subtopic:  Position & Displacement |
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A particle is moving on a circular path of radius R. When the particle moves from point A to B (angle θ), the ratio of the distance to that of the magnitude of the displacement will be

           

1. θsinθ2

2. θ2sinθ2

3. θ2cosθ2

4. θcosθ2

Subtopic:  Position & Displacement |
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Coordinates of a particle as a function of time t are x = 2t, y = 4t. It can be inferred that the path of the particle will be

1. Straight line

2. Ellipse

3. Parabola

4. Hyperbola

Subtopic:  Position & Displacement |
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An aeroplane flies 400 m north and then 300 m west and then flies 1200 m upwards. Its net displacement is

1. 1200 m

2. 1300 m

3. 1400 m

4. 1500 m

Subtopic:  Position & Displacement |
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A body starts moving from rest on a horizontal ground such that the position vector of the body with respect to its starting point is given by r = 2ti^ + 3t2j^. The equation of the trajectory of the body is:

1. y = 1.5 x

2. y = 0.75 x2

3. y = 1.5 x2

4. y = 0.45 x2

Subtopic:  Position & Displacement |
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