A ball is thrown upward with a certain speed. It passes through the same point at 3 second and 7 second from the start. The maximum height achieved by the ball is:

1.  500 m

2.  250 m

3.  125 m

4.  450 m

Subtopic:  Uniformly Accelerated Motion |
 61%
From NCERT
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For the following acceleration versus time graph the corresponding velocity versus displacement graph is: 

                     

1. 2.
3. 4.
Subtopic:  Uniformly Accelerated Motion |
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The displacement \(x\) of a particle moving in one dimension under the action of a constant force is related to time \(t\) by the equation \(t=\sqrt{x}+3,\) where \(x\) is in meters and \(t\) is in seconds. What is the displacement of the particle from \(t=0~\text s\) to \(t = 6~\text s?\)

1. \(0\)
2. \(12~\text m\)
3. \(6~\text m\)
4. \(18~\text m\)

Subtopic:  Distance & Displacement |
 58%
From NCERT
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The acceleration \(a\) (in ms-2) of a body, starting from rest varies with time \(t\) (in \(\mathrm{s}\)) as per the equation \(a=3t+4.\) The velocity of the body at time \(t=2\) \(\mathrm{s}\) will be:

1. \(10~\text{ms}^{-1}\) 2. \(18~\text{ms}^{-1}\)
3. \(14~\text{ms}^{-1}\) 4. \(26~\text{ms}^{-1}\)
Subtopic:  Non Uniform Acceleration |
 72%
From NCERT
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A body thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is:

1. 2t

2. 1+12t

3. 3t2

4. t2

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
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A stone falls freely from rest from a height h and it travels a distance 9h25 in the last second. The value of h is:

1. 145 m

2. 100 m

3. 125 m

4. 200 ms

Subtopic:  Uniformly Accelerated Motion |
 69%
From NCERT
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A point moves in a straight line under the retardation \(av^2\). If the initial velocity is \(u,\) the distance covered in \(t\) seconds is:
1. \((aut)\)
2. \(\frac{1}{a}\mathrm{ln}(aut)\)
3. \(\frac{1}{a}\mathrm{ln}(1+aut)\)
4. \(a~\mathrm{ln}(aut)\)

Subtopic:  Non Uniform Acceleration |
 56%
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A particle is thrown upwards from the ground. It experiences a constant resistance force which can produce retardation of \(2~\text{m/s}^2\). The ratio of the time of ascent to the time of descent is: \([g = 10~\text{m/s}^2]\)
1. \(1:1\)
2. \(\sqrt{\frac{2}{3}}\)
3. \(\frac{2}{3}\)
4. \(\sqrt{\frac{3}{2}}\)
Subtopic:  Uniformly Accelerated Motion |
From NCERT
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A bullet loses 120 of its velocity passing through a plank. The least number of planks required to stop the bullet is (All planks offers same retardation)

(1) 10

(2) 11

(3) 12

(4) 23

Subtopic:  Uniformly Accelerated Motion |
 59%
From NCERT
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A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by (4t32t), where t is in sec and velocity in m/s. What is the acceleration of the particle, when it is 2 m from the origin ?

1. 28 m/s2

2. 22 m/s2

3. 12 m/s2

4. 10 m/s2

Subtopic:  Non Uniform Acceleration |
 63%
From NCERT
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