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Q. No.

The study of motion of objects, without consideration of its cause, is:
1. statics
2. kinematics
3. mechanics
4. dynamics

Subtopic:  Distance & Displacement |
 89%
Level 1: 80%+
Hints

When a particle's position changes, which of the following statements is true about its displacement and the distance it covers?

1. Both cannot be zero.
2. Either one can be zero.
3. Both must be zero.
4. If one is positive, the other is negative, and vice-versa.
Subtopic:  Distance & Displacement |
 55%
Level 3: 35%-60%
Hints
A particle is projected vertically upwards with a speed \(u\) and moves under the force of gravity. The distance travelled by the particle during its entire motion (until it returns) is \(d_1.\) If the force of gravity were to be switched off, and the particle travelled for the same length of time, then the distance travelled is \(d_2.\) Then, 
1. \(d_2 = d_1\)
2. \(d_2 = 2d_1\)
3. \(d_2 = 3d_1\) 
4. \(d_2 = 4 d_1\)
Subtopic:  Uniformly Accelerated Motion |
 54%
Level 3: 35%-60%
Hints
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A particle moves along a straight line such that its velocity is proportional to the square root of its displacement. Its acceleration is:
1. zero
2. constant
3. proportional to time
4. proportional to displacement
Subtopic:  Acceleration |
 69%
Level 2: 60%+
Hints
A balloon ascends upward with a constant upward velocity \(5\) m/s. At the same time, it is being pushed to the right by the wind with a speed that is proportional to its height \((y)\):    \(v_\text{right}=2y \)
where the units are in SI. The acceleration of the balloon is: 
1. zero
2. \(10~\text{ms}^{-2}\)  to right
3. \(5~\text{ms}^{-2}\)  to right
4. \(10~\text{ms}^{-2}\) upward
Subtopic:  Acceleration |
Level 3: 35%-60%
Hints
The velocity-time graph of a particle moving along a straight line is shown in the adjacent figure. The average velocity is:
                     
1. \(1~\text{ms}^{-1}\) 2. \(2~\text{ms}^{-1}\) m/s
3. less than \(1~\text{ms}^{-1}\) 4. greater than \(2~\text{ms}^{-1}\)
Subtopic:  Graphs |
Level 3: 35%-60%
Hints
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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%
Level 1: 80%+
NEET - 2022
Hints

A boy throws a ball straight up the side of a building and receives it after \(4~\text s.\) On the other hand, if he throws it so that it strikes a ledge on its way up, it returns to him after \(3~\text s.\) The ledge is at a distance \(d\) below the highest point, where \(d=? \) (take acceleration due to gravity, \(g=10~\text{ms}^{-2})\)
1. \(5~\text m\)
2. \(2.5~\text m\)
3. \(1.25~\text m\)
4. \(10~\text m\)

Subtopic:  Uniformly Accelerated Motion |
Level 3: 35%-60%
Hints

Mark the correct statements for a particle going on a straight line:

(a) if the velocity and acceleration have opposite sign, the object is slowing down.
(b) if the position and velocity have opposite sign, the particle is moving towards the origin.
(c) if the velocity is zero at an instant, the acceleration should also be zero at that instant.
(d) if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval.

Choose the correct option:

1. (a), (b) and (c) 2. (a), (b) and (d)
3. (b), (c) and (d) 4. all of these
Subtopic:  Acceleration |
 66%
Level 2: 60%+
Hints
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A stone is released from an elevator going up with an acceleration \(a.\) The acceleration of the stone after the release is:
1. \(a\) upward
2. \((g-a)\) upward
3. \((g-a)\) downward
4. \(g\) downward

Subtopic:  Uniformly Accelerated Motion |
Level 3: 35%-60%
Hints
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