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Q. No.The following plots show variation of velocity \((v)\) with time \((t)\), of a ball thrown vertically upward and falling back. Which of the following plots is/are correct?
1. \((\mathrm{C})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{B})\) only
| \((\mathrm{A})\) |  |
\((\mathrm{B})\) |  |
| \((\mathrm{C})\) |  |
\((\mathrm{D})\) |  |
| \((\mathrm{E})\) |  |
||
1. \((\mathrm{C})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{B})\) only
Subtopic: Uniformly Accelerated Motion |
50%
Level 3: 35%-60%
NEET - 2026
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When a ruler falls vertically, \(5\) different persons catch it with different reaction times. (\(g = 9.8 \text{ m s}^{-2}\))
\((\mathrm{A})\) Person \(A\) has reaction time of \(0.20\) s.
\((\mathrm{B})\) Person \(B\) has reaction time of \(0.22\) s.
\((\mathrm{C})\) Person \(C\) has reaction time of \(0.18\) s.
\((\mathrm{A})\) Person \(D\) has reaction time of \(0.19\) s.
\((\mathrm{D})\) Person \(E\) has reaction time of \(0.21\) s.
What is the correct order of the distance travelled by the ruler for each person?
1. \(C>D>A>B>E\)
2. \(C>D>A>E>B\)
3. \(B>E>A>C>D\)
4. \(B>E>A>D>C\)
\((\mathrm{A})\) Person \(A\) has reaction time of \(0.20\) s.
\((\mathrm{B})\) Person \(B\) has reaction time of \(0.22\) s.
\((\mathrm{C})\) Person \(C\) has reaction time of \(0.18\) s.
\((\mathrm{A})\) Person \(D\) has reaction time of \(0.19\) s.
\((\mathrm{D})\) Person \(E\) has reaction time of \(0.21\) s.
What is the correct order of the distance travelled by the ruler for each person?
1. \(C>D>A>B>E\)
2. \(C>D>A>E>B\)
3. \(B>E>A>C>D\)
4. \(B>E>A>D>C\)
Subtopic: Uniformly Accelerated Motion |
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Level 2: 60%+
NEET - 2026
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In some appropriate units, time \((t)\) and position \((x)\) relation of a moving particle is given by \(t=x^2+x. \) The acceleration of the particle is:
| 1. | \(+\dfrac{2}{(x+1)^3}\) | 2. | \(+\dfrac{2}{(2x+1)}\) |
| 3. | \(-\dfrac{2}{(x+2)^3}\) | 4. | \(-\dfrac{2}{(2x+1)^3}\) |
Subtopic: Non Uniform Acceleration |
Level 3: 35%-60%
NEET - 2025
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Two cities \(X \) and \(Y\) are connected by a regular bus service with a bus leaving in either direction every \(T~\text{min}.\) A girl is driving scooty with a speed of \(60~\text{km/h}\) in the direction \(X\) to \(Y\) notices that a bus goes past her every \(30~\text{minutes}\) in the direction of her motion, and every \(10~\text{minutes}\) in the opposite direction. Choose the correct option for the period \(T\) of the bus service and the speed (assumed constant) of the buses.
| 1. | \(10 ~\text{min},~ 90~ \text{km/h}\) | 2. | \(15 ~\text{min},~ 120~ \text{km/h}\) |
| 3. | \(9 ~\text{min},~ 40~ \text{km/h}\) | 4. | \(25 ~\text{min},~ 100~ \text{km/h}\) |
Subtopic: Relative Motion in One Dimension |
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Level 3: 35%-60%
NEET - 2025
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The velocity \((v)\)-time \((t)\) plot of the motion of a body is shown below:
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is:
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Graphs |
76%
Level 2: 60%+
NEET - 2024
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An object falls freely from height \(h\) above the ground. It travels \(\dfrac{5}{9}h\) of the total height in the last \(1~\text{s}.\) The height \(h\) is: \( \left (\text{use}~g =10~\text{m/s}^{2} \right )\)
| 1. | \(5~\text{m}\) | 2. | \(25~\text{m}\) |
| 3. | \(45~\text{m}\) | 4. | \(58~\text{m}\) |
Subtopic: Uniformly Accelerated Motion |
66%
Level 2: 60%+
NEET - 2024
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A body is falling freely in a resistive medium. The motion of the body is described by \(\dfrac{dv}{dt}=(4-2v), \) where \(v\) is the velocity of the body at any instant (in \(\text{ms}^{–1}\)). The terminal velocity in this case refers to the velocity the body approaches as time \(t \to \infty.\) The initial acceleration and terminal velocity of the body, respectively, are:
| 1. | \(4~\text{m/s}^2,\) \(2~\text{m/s}\) | 2. | \(2~\text{m/s}^2,\) \(4~\text{m/s}\) |
| 3. | \(6~\text{m/s}^2,\) \(2~\text{m/s}\) | 4. | \(2~\text{m/s}^2,\) \(6~\text{m/s}\) |
Subtopic: Acceleration |
61%
Level 2: 60%+
NEET - 2024
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The speed \((s)\) of a car as a function of time \((t)\) is shown figure, The distance travelled by the car in \(8\) seconds is:
| 1. | \(180~\text{m}\) | 2. | \(60~\text{m}\) |
| 3. | \(80~\text{m}\) | 4. | \(18~\text{m}\) |
Subtopic: Graphs |
80%
Level 1: 80%+
NEET - 2024
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A particle is moving along the \(x\text-\)axis with its position \((x)\) varying with time \((t)\) as \(x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.\) The ratio of its initial velocity to its initial acceleration is:
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
Subtopic: Instantaneous Speed & Instantaneous Velocity |
77%
Level 2: 60%+
NEET - 2024
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A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v.\) Its average speed is:
| 1. | \(\dfrac{3v}{4}\) | 2. | \(\dfrac{v}{3}\) |
| 3. | \(\dfrac{2v}{3}\) | 4. | \(\dfrac{4v}{3}\) |
Subtopic: Average Speed & Average Velocity |
71%
Level 2: 60%+
NEET - 2023
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