- 1(current)
Q. No.
| 1. | \(1.4\) m | 2. | \(1.0\) m |
| 3. | \(0.8\) m | 4. | \(0.6\) m |
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 what angle with the \(x\)-axis?
1. \(30^\circ\)
2. \(45^\circ\)
3. \(60^\circ\)
4. data is insufficient
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 |
| 1. | \(\sqrt2,~45^\circ\) with the \(x\text-\)axis. |
| 2. | \(\sqrt2,~-45^\circ\) with the \(x\text-\)axis. |
| 3. | \(\dfrac1{\sqrt2},~60^\circ\) with the \(x\text-\)axis. |
| 4. | \(\dfrac1{\sqrt2},~-60^\circ\) with the \(x\text-\)axis. |
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. \(A = B = C\)
- 1(current)
Q. No.
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