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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%
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NEET - 2022
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Given below are two statements: 
Assertion (A): A body is momentarily at rest at the instant it reverses the direction. 
Reason (R): A body cannot have acceleration if its velocity is zero at a given instant of 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. (A) is False but (R) is True.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 65%
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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 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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Given below are two statements:
Assertion (A): Two balls of different masses are thrown vertically upward with the same speed. They will pass through their point of projection in the downward direction with the same speed.
Reason (R): The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.
 
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 |
 79%
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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. \(x^0\)
Subtopic:  Acceleration |
 55%
From NCERT
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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?
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 |
 81%
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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 |
 57%
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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
 81%
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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 |
 75%
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