Q. No.
Which of the following velocity-time graphs shows a realistic situation for a body in motion?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Acceleration-time graph of a body is shown.
The corresponding velocity-time graph of the same body is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Given below are two statements:
| Assertion (A): | Position-time graph of a stationary object is a straight line parallel to the time axis. |
| Reason (R): | For a stationary object, the position does not change with time. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
| 1. | \(-\frac{1}{2}\left(a\omega^2\sin\omega t\right)t^2\) | 2. | \(a\omega \sin \omega t\) |
| 3. | \(a\omega \cos \omega t\) | 4. | \(a\sin \omega t\) |
Four marbles are dropped from the top of a tower one after the other at a one-second interval. The first one reaches the ground after \(4\) seconds. When the first one reaches the ground the distances between the first and second, the second and third, and the third and fourth will be, respectively:
| 1. | \(35\) m, \(25\) m, and \(15\) m | 2. | \(30\) m, \(20\) m, and \(10\) m |
| 3. | \(20\) m, \(10\) m, and \(5\) m | 4. | \(40\) m, \(30\) m, and \(20\) m |
A particle is projected upwards. The times corresponding to height \(h\) while ascending and while descending are t1 and t2 respectively. The velocity of projection will be:
1. \(gt_1\)
2. \(gt_2\)
3. \(g(t_1+t_2)\)
4. \(\frac{g(t_1+t_2)}{2}\)
In the following graph, the distance travelled by the body in metres is:
| 1. | \(200\) | 2. | \(250\) |
| 3. | \(300\) | 4. | \(400\) |
The velocity-time \((v\text-t)\) graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in \(6\) s are, respectively:
1. \(8\) m, \(16\) m
2. \(16\) m, \(8\) m
3. \(16\) m, \(16\) m
4. \(8\) m, \(8\) m
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?
| 1. | \(3.6~\text{m}\) |
| 2. | \(28.8~\text{m}\) |
| 3. | \(36.0~\text{m}\) |
| 4. | It cannot be calculated from the above graph. |
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