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 |
 68%
From NCERT
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 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 |
 65%
From NCERT
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 |
 83%
From NCERT
NEET - 2024
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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: 
1. 2.
3. 4.
Subtopic:  Graphs |
 78%
From NCERT
NEET - 2024
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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 |
 69%
From NCERT
NEET - 2023
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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 |
 70%
From NCERT
NEET - 2023
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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
 81%
From NCERT
NEET - 2022
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The figure given below shows the displacement and time, \((x\text -t)\) graph of a particle moving along a straight line:
           
The correct statement, about the motion of the particle, is:

1. the particle moves at a constant velocity up to a time \(t_0\) and then stops.
2. the particle is accelerated throughout its motion.
3. the particle is accelerated continuously for time \(t_0\) then moves with constant velocity.
4. the particle is at rest.

Subtopic:  Graphs |
 76%
From NCERT
NEET - 2022
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A stone is thrown vertically downwards with an initial velocity of \(40\) m/s from the top of a building. If it reaches the ground with a velocity of \(60\) m/s, then the height of the building is: (take \(g=10\) m/s2)

1. \(120\) m 2. \(140\) m
3. \(80\) m 4. \(100\) m
Subtopic:  Uniformly Accelerated Motion |
 84%
From NCERT
NEET - 2022
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The ratio of the distances travelled by a freely falling body in the \(1\)st, \(2\)nd, \(3\)rd and \(4\)th second is:
1. \(1:1:1:1\)
2. \(1:2:3:4\)
3. \(1:4:9:16\)
4. \(1:3:5:7\)
Subtopic:  Uniformly Accelerated Motion |
 82%
From NCERT
NEET - 2022
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