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A particle is moving along a straight line such that its position depends on time as \(x=1-at+bt^{2} \), where \(a=2~\text{m/s}\), \(b=1~\text{m/s}^2\). The distance covered by the particle during the first \(3\) seconds from start of the motion will be:
1.
\(2~\text{m}\)
2.
\(5~\text{m}\)
3.
\(7~\text{m}\)
4.
\(4~\text{m}\)
A particle is moving along a straight line such that its position depends on time as \(x=1-at+bt^{2} \), where \(a=2~\text{m/s}\), \(b=1~\text{m/s}^2\). The distance covered by the particle during the first \(3\) seconds from start of the motion will be:
| 1. | \(2~\text{m}\) | 2. | \(5~\text{m}\) |
| 3. | \(7~\text{m}\) | 4. | \(4~\text{m}\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
Level 3: 35%-60%
Hints
A body is projected vertically upwards with a speed \(v.\) The distance travelled by the body in the last second of upward journey is the same as that of:
| 1. | distance travelled in last second of downward journey |
| 2. | distance travelled in first second of upward journey |
| 3. | distance travelled in first second of downward journey |
| 4. | both (1) and (2) |
Subtopic: Uniformly Accelerated Motion |
70%
Level 2: 60%+
Hints
A particle starting from rest undergoes a rectilinear motion with an acceleration \(a\). The variation of acceleration with time \(t\) is shown in the diagram. The final velocity of the object during its motion is:
1. \(6\) m/s
2. \(16\) m/s
3. \(24\) m/s
4. \(12\) m/s
1. \(6\) m/s
2. \(16\) m/s
3. \(24\) m/s
4. \(12\) m/s
Subtopic: Acceleration |
85%
Level 1: 80%+
Hints
An object moves along a straight line. It travels \(30\) m in \(5\) s and \(60\) m in the next \(10\) seconds. The average speed of the object is:
1. \(6\) m/s
2. \(10\) m/s
3. \(12\) m/s
4. \(9\) m/s
1. \(6\) m/s
2. \(10\) m/s
3. \(12\) m/s
4. \(9\) m/s
Subtopic: Average Speed & Average Velocity |
91%
Level 1: 80%+
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A falling stone from rest takes \(0.2~\text{s}\) to fall past a window on path which is \(1~\text{m}\) high. From how far above the top of window, was the stone dropped?
| 1. | \(\dfrac45~\text{m}\) | 2. | \(\dfrac54~\text{m}\) |
| 3. | \(\dfrac95~\text{m}\) | 4. | \(\dfrac59~\text{m}\) |
Subtopic: Uniformly Accelerated Motion |
59%
Level 3: 35%-60%
Hints
The displacement-time \((s\text-t)\) graphs of two moving particles \(A~\text{and}~B\) make angles of \(30^\circ\) and \(45^\circ\) with the \(x\text-\)axis as shown in the figure. The ratio of their respective velocity \(\left(\dfrac{v_A}{v_B}\right) \) is:
| 1. | \(1: \sqrt{3}\) | 2. | \(\sqrt{3}: 1\) |
| 3. | \(1:1\) | 4. | \(1:2\) |
Subtopic: Graphs |
76%
Level 2: 60%+
NEET - 2022
Hints
Given below are two statements:
| Assertion (A): | Adding a scalar to a vector of the same dimension is a meaningful algebraic operation. |
| Reason (R): | Displacement can be added to distance. |
| 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. |
Subtopic: Distance & Displacement |
72%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | A particle having zero acceleration must have a constant speed. |
| Reason (R): | A particle having constant speed must have zero acceleration. |
| 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. |
Subtopic: Acceleration |
57%
Level 3: 35%-60%
Hints
Select the correct option based on the statements given below:
| Assertion (A): | A body can have acceleration even if its velocity is zero at a given instant of time. |
| Reason (R): | A body is momentarily at rest when it reverses its direction of motion. |
| 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. |
Subtopic: Uniformly Accelerated Motion |
65%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | If the average velocity of a particle over a certain time interval is zero, it is possible that the instantaneous velocity of the particle is never zero during that interval. |
| Reason (R): | For a particle moving along a straight line, if its average velocity over a time interval is zero, then there must be at least one instant within that interval when the instantaneous velocity is zero. |
| 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. |
Subtopic: Average Speed & Average Velocity |
Level 3: 35%-60%
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