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%
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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 |
From NCERT
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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 = x + 3, where x is in metres and t is in seconds. What is the displacement of the particle from t = 0 s to t = 6 s?

1.  0

2.  12 m

3.  6 m

4.  18 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. \(10\) ms-1
2. \(18\) ms-1
3. \(14\) ms-1
4. \(26\) ms-1

Subtopic:  Non Uniform Acceleration |
 71%
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%
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A point moves in a straight line under the retardation av2. If the initial velocity is \(\mathrm{u},\) the distance covered in \(\mathrm{t}\) seconds is:
1. aut
2. 1aln aut
3. 1aln 1+aut
4. a ln aut

Subtopic:  Non Uniform Acceleration |
 57%
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A particle is thrown upwards from ground. It experiences a constant resistance force which can produce retardation of 2 m/s2. The ratio of time of ascent to the time of descent is: [g=10 m/s2]

(1) 1:1

(2) 23

(3) 23

(4) 32

Subtopic:  Uniformly Accelerated Motion |
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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 |
 60%
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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 |
 64%
From NCERT
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