A person goes upstairs from \(A\) to \(B\) (see the figure given below), with all steps of the same width and same height. The magnitude of his displacement from \(A\) to \(B\) is:
1. \(1.4\) m 2. \(1.0\) m
3. \(0.8\) m 4. \(0.6\) m
Subtopic:  Position & Displacement |
 72%
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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 \(x\)-axis an angle of:

1. \(30^\circ\) 2. \(45^\circ\)
3. \(60^\circ\) 4. data is insufficient
Subtopic:  Position & Displacement |
 81%
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The position of a particle at time \(t\) is given by, \(x=3t^3\)\(y=2t^2+8t\), and \(z=6t-5\). The initial velocity of the particle is:

1. \(20\) unit 2. \(10\) unit
3. \(5\) unit 4. \(13\) unit
Subtopic:  Position & Displacement | Speed & Velocity | Projectile Motion |
 82%
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\(\hat{i}\) and \(\hat{j}\) are unit vectors along the x and y axis respectively. What is the magnitude and direction of the vector \(\hat{i}-\hat{j}?\)
1. \(\sqrt2,~45^\circ\) with the x-axis.
2. \(\sqrt2,~-45^\circ\) with the x-axis.
3. \(\dfrac1{\sqrt2},~60^\circ\) with the x-axis.
4. \(\dfrac1{\sqrt2},~-60^\circ\) with the x-axis.
Subtopic:  Position & Displacement |
 64%
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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 |
 85%
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