A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v\). Its average speed is:
1. \(\frac{3v}{4}\)
2. \(\frac{v}{3}\)
3. \(\frac{2v}{3}\)
4. \(\frac{4v}{3}\)
Subtopic:  Average Speed & Average Velocity |
 63%
From NCERT
NEET - 2023
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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 \(g=\)\(10\) ms-2 )
1. \(68\) m
2. \(56\) m
3. \(60\) m
4. \(64\) m
Subtopic:  Uniformly Accelerated Motion |
 62%
From NCERT
NEET - 2023
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The displacement-time graphs of two moving particles make angles of \(30^\circ\) and \(45^\circ\) with the x-axis as shown in the figure. The ratio of their respective velocity is:
       
1. \(1: \sqrt{3}\) 2. \(\sqrt{3}: 1\)
3. \(1:1\) 4.    \(1:2\)
Subtopic:  Graphs |
 69%
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 |
 79%
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 |
 82%
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 |
 73%
From NCERT
NEET - 2022
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The position-time \((x-t)\) graph for positive acceleration is:
 
1. 2.
3. 4.
Subtopic:  Graphs |
 78%
From NCERT
NEET - 2022
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A small block slides down on a smooth inclined plane starting from rest at time \(t=0.\) Let \(S_n\) be the distance traveled by the block in the interval \(t=n-1\) to \(t=n.\) Then the ratio \(\frac{S_n}{S_{n +1}}\) is:
1. \(\frac{2n+1}{2n-1}\)
2. \(\frac{2n}{2n-1}\)
3. \(\frac{2n-1}{2n}\)
4. \(\frac{2n-1}{2n+1}\)

Subtopic:  Uniformly Accelerated Motion |
 55%
From NCERT
NEET - 2021
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A ball is thrown vertically downwards with a velocity of \(20\) m/s from the top of a tower. It hits the ground after some time with the velocity of \(80\) m/s . The height of the tower is: (assuming g=10 m/s2)

1. \(340\) m 2. \(320\) m
3. \(300\) m 4. \(360\) m
Subtopic:  Uniformly Accelerated Motion |
 82%
From NCERT
NEET - 2020
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A person sitting on the ground floor of a building notices through the window, of height \(1.5~\text{m}\), a ball dropped from the roof of the building crosses the window in \(0.1~\text{s}\). What is the velocity of the ball when it is at the topmost point of the window? \(\left(g = 10~\text{m/s}^2\right )\)
1. \(15.5~\text{m/s}\)
2. \(14.5~\text{m/s}\)
3. \(4.5~\text{m/s}\) 
4. \(20~\text{m/s}\) 

Subtopic:  Uniformly Accelerated Motion |
 63%
From NCERT
NEET - 2020
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