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Q. No.Consider the motion of the tip of the minute hand of a clock. In one hour:
| (a) | the displacement is zero |
| (b) | the distance covered is zero |
| (c) | the average speed is zero |
| (d) | the average velocity is zero |
Choose the correct option from the given ones:
1. (a) and (b) only
2. (b) and (c) only
3. (c) and (d) only
4. (a) and (d) only
| 1. | \(4\sqrt2~\text{ms}^{-1},45^\circ\) | 2. | \(4\sqrt2~\text{ms}^{-1},60^\circ\) |
| 3. | \(3\sqrt2~\text{ms}^{-1},30^\circ\) | 4. | \(3\sqrt2~\text{ms}^{-1},45^\circ\) |
The coordinates of a moving particle at any time \(t\) are given by \(x=\alpha t^3\) and \(y=\beta t^3.\) The speed of the particle at time \(t\) is given by:
1. \(\sqrt{\alpha^2+\beta^2}~\)
2. \(3t\sqrt{\alpha^2+\beta^2}~\)
3. \(3t^2\sqrt{\alpha^2+\beta^2}~\)
4. \(t^2\sqrt{\alpha^2+\beta^2}~\)
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. \(20\text{ unit}\)
2. \(10\text{ unit}\)
3. \(5\text{ unit}\)
4. \(13\text{ unit}\)
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Q. No.
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