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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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
 80%
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 |
 81%
From NCERT
NEET - 2022
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The displacement-time \((s\text-t)\) graphs of two moving particles \(A~\text{and}~B\) make angles of \(30^\circ\) and \(45^\circ\) with the \(x\text-\)axis as shown in the figure. The ratio of their respective velocity \(\left(\dfrac{v_A}{v_B}\right) \) is:
                   
1. \(1: \sqrt{3}\)
2. \(\sqrt{3}: 1\)
3. \(1:1\)
4. \(1:2\)
Subtopic:  Graphs |
 75%
From NCERT
NEET - 2022
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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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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 scooter accelerates from rest for time \(t_1\) at constant rate \(a_1\) and then retards at constant rate \(a_2\) for time \(t_2\) and comes to rest. The correct value of  \(\frac{t_1}{t_2}\) will be:
1. \(\frac{a_1+a_2}{a_2}\)
2. \(\frac{a_2}{a_1}\)
3. \(\frac{a_1}{a_2}\)
4. \(\frac{a_1+a_2}{a_1}\)

Subtopic:  Graphs |
 74%
From NCERT
JEE
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A person is walking inside Train \(A,\) which is moving on a straight track at a speed of \(36~\text{km/h}. \) The person walks in the opposite direction to the motion of Train \(A\) with a speed of \(1.8~\text{km/h} .\) Another train, Train \(B,\) is moving on a parallel track in the opposite direction with a speed of \(72~\text{km/h}. \) Assuming the width between the tracks is negligible, the speed of the person as observed from Train \(B\) is approximately:
1. \(30.5\) m/s
2. \(29.5\) m/s
3. \(31.5\) m/s
4. \(28.5\) m/s

Subtopic:  Relative Motion in One Dimension |
 64%
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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 \(\dfrac{S_n}{S_{n +1}}\) is:

1. \(\dfrac{2n+1}{2n-1}\) 2. \(\dfrac{2n}{2n-1}\)
3. \(\dfrac{2n-1}{2n}\) 4. \(\dfrac{2n-1}{2n+1}\)
Subtopic:  Uniformly Accelerated Motion |
 60%
From NCERT
NEET - 2021
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