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Q. No.A particle starts from the origin at time \(t=0 \) with an initial velocity of \(5\hat{j}~\text{ms}^{-1}. \) It moves in the \(XY \text-\)plane under a constant acceleration of \(\left(10\hat{i}+4\hat{j}\right)~\text{ms}^{-2} .\) At some later time \(t,\) the coordinates of the particle are \((20~\text{m}, y_0~\text{m}). \) The values of \(t \) and \(y_0 \) are, respectively:
1. \(4~\text{s}\) and \(52~\text{m}\)
2. \(5~\text{s}\) and \(25~\text{m}\)
3. \(2~\text{s}\) and \(18~\text{m}\)
4. \(2~\text{s}\) and \(24~\text{m}\)
Subtopic: Position & Displacement |
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Level 1: 80%+
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A person moves from point \(A\) to point \(B\) along a circular arc that subtends an angle of \(135^\circ\) at the centre \(O,\) as shown in the figure. The length of the arc \(AB\) is \(60~\text{m}.\) If \(\cos135^\circ =-0.7,\) the magnitude of the displacement of the person is:
| 1. | \(42\) m | 2. | \(47\) m |
| 3. | \(19\) m | 4. | \(40\) m |
Subtopic: Position & Displacement |
51%
Level 3: 35%-60%
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A cyclist starts from the point \(P\) of a circular ground of radius \(2\text{ km}\) and travels along its circumference to the point \(S.\) The displacement of a cyclist is –
1. \(4\text{ km}\)
2. \(6\text{ km}\)
3. \(\sqrt{8}\text{ km}\)
4. \(8\text{ km}\)
1. \(4\text{ km}\)
2. \(6\text{ km}\)
3. \(\sqrt{8}\text{ km}\)
4. \(8\text{ km}\)
Subtopic: Position & Displacement |
87%
Level 1: 80%+
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Q. No.
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