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A rocket moves vertically up with a constant acceleration of \(8\) m/s2. After sometime, its fuel gets exhausted and it falls under gravity. If the maximum height attained by the rocket is \(180\) m, what was the speed when the fuel exhausted?
1. \(30\) m/s
2. \(40\) m/s
3. \(60\) m/s
4. \(50\) m/s
Subtopic: Uniformly Accelerated Motion |
Level 4: Below 35%
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The displacement \(x\) (in \(\text m\)) of a particle of mass \(m\) (in \(\text{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in \(\text s\)) by; \(t = (\sqrt x +3 ).\) The displacement of the particle when its velocity is zero will be:
| 1. | \(4~\text m\) | 2. | zero |
| 3. | \(6~\text m\) | 4. | \(2~\text m\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
90%
Level 1: 80%+
NEET - 2013
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A car travels a distance \(AB\) in three equal segments: the first third at a velocity of \(v_1~\text{m/s},\) the second third at \(v_2~\text{m/s},\) and the final third at \(v_3~\text{m/s}.\) Given that \(v_3 = 3v_1 , ~v_2 = 2v_1\) and \(v_1 = 11~\text{m/s} ,\) the average velocity of the car is:
| 1. | \(12~\text{m/s}\) | 2. | \(18~\text{m/s}\) |
| 3. | \(16~\text{m/s}\) | 4. | \(11~\text{m/s}\) |
Subtopic: Average Speed & Average Velocity |
76%
Level 2: 60%+
JEE
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A car travels \(4\) km distance with a speed of \(3\) km/hr and next \(4\) km with a speed of \(5\) km/hr. What is the average speed of the car?
1. \({{15}\over{2}}\) km/hr
2. \({{15}\over{4}}\) km/hr
3. \(15\) km/hr
4. \(10\) km/hr
1. \({{15}\over{2}}\) km/hr
2. \({{15}\over{4}}\) km/hr
3. \(15\) km/hr
4. \(10\) km/hr
Subtopic: Average Speed & Average Velocity |
89%
Level 1: 80%+
JEE
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Subtopic: Graphs |
81%
Level 1: 80%+
NEET - 2022
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A ball is thrown vertically upward with a certain velocity from the surface of the earth and after some time it returns back to the earth. The velocity-time (\(v\text-t\)) graph for the entire journey is given by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Graphs |
58%
Level 3: 35%-60%
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A car, which is initially stationary, accelerates for
\(5\) s at \(4.0\) m/s2 along a straight road. It then continues in the same direction for \(20\) s at a constant speed. What is the maximum speed of the car, and what is the distance travelled by the car in the final \(20\) s of its motion?
\(5\) s at \(4.0\) m/s2 along a straight road. It then continues in the same direction for \(20\) s at a constant speed. What is the maximum speed of the car, and what is the distance travelled by the car in the final \(20\) s of its motion?
| 1. | maximum speed = \(24\) m/s; distance = \(480\) m |
| 2. | maximum speed = \(20\) m/s; distance = \(400\) m |
| 3. | maximum speed = \(9.0\) m/s; distance = \(200\) m |
| 4. | maximum speed = \(9.0\) m/s; distance = \(180\) m |
Subtopic: Uniformly Accelerated Motion |
82%
Level 1: 80%+
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A particle moves along a straight line with its velocity \((v)\) varying as the square root of its displacement \((x)\text:\) \(v\propto\sqrt x\)
Then its acceleration varies as:
1. \(\dfrac{1}{\sqrt x}\)
2. \(x^{3/2}\)
3. \(x^{-3/2}\)
4. \(x^0\)
Then its acceleration varies as:
1. \(\dfrac{1}{\sqrt x}\)
2. \(x^{3/2}\)
3. \(x^{-3/2}\)
4. \(x^0\)
Subtopic: Acceleration |
57%
Level 3: 35%-60%
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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
Hints
A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\) ms–1. The ball strikes the water surface after \(4\) s. The height of bridge above water surface is: (Take \(g=10~ \text {ms}^{-2}\) )
| 1. | \(68\) m | 2. | \(56\) m |
| 3. | \(60\) m | 4. | \(64\) m |
Subtopic: Uniformly Accelerated Motion |
70%
Level 2: 60%+
NEET - 2023
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