- 1(current)
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
Subtopic: Â Speed & Velocity |
 89%
Level 1: 80%+
Hints
The position of a particle is given by; \(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k,\) where \(t\) is in seconds and \(r\) in metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)axis.
| 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. | \(3\sqrt2~\text{ms}^{-1},45^\circ\) |
Subtopic: Â Speed & Velocity |
 81%
Level 1: 80%+
NEET - 2023
Hints
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. \(t^2\sqrt{\alpha^2+\beta^2}~\)
Subtopic: Â Speed & Velocity |
 81%
Level 1: 80%+
Hints
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: Â Speed & Velocity |
 83%
Level 1: 80%+
Hints
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