The study of motion of objects, without consideration of its cause, is:
1. statics
2. kinematics
3. mechanics
4. dynamics
Subtopic:  Distance & Displacement |
 88%
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Which of the following statements is true about the motion depicted in the diagram? 
              
1. The acceleration is constant and non-zero.
2. The velocity changes suddenly during the motion.
3. The velocity is positive throughout.
4. All of the above are true.
Subtopic:  Graphs |
 65%
From NCERT
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The position of an object moving along the \(x\text-\)axis is given by, \(x=a+bt^2\)where \(a=8.5 ~\text m,\)  \(b=2.5~\text{m/s}^2,\) and \(t\) is measured in seconds. Its velocity at \(t=2.0~\text s\) will be:
1. \(13~\text{m/s}\) 
2. \(17~\text{m/s}\)
3. \(10~\text{m/s}\)
4. \(0~\text{m/s}\)

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 87%
From NCERT
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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 |
 73%
From NCERT
NEET - 2022
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A graph of \(x\) versus \(t\) is shown in the figure. Choose correct alternatives from below.
               
(a) The particle was released from rest at \(t = 0\).
(b) At \(B,\) the acceleration \(a > 0\).
(c) At \(C,\) the velocity and the acceleration vanish.
(d) Average velocity for the motion between \(A\) and \(D\) is positive.
(e) The speed at \(D\) exceeds that at \(E\).

Choose the correct option:
1. (b), (c), (d) 2. (a), (b), (c), (d)
3. (a), (d) 4. (a), (c), (e)
Subtopic:  Graphs |
From NCERT
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If in one-dimensional motion, instantaneous speed \(v\) satisfies \(0\leq v<v_0,\) then:

1. the displacement in time \(T\) must always take non-negative values.
2. the displacement \(x\) in time \(T\) satisfies  \(-{v_0T} \lt x \lt {v_0T}.\)
3. the acceleration is always a non-negative number.
4. the motion has no turning points.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 55%
From NCERT
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A particle is moving along the \(x\text-\)axis with its position \((x)\) varying with time \((t)\) as \(x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.\) The ratio of its initial velocity to its initial acceleration is:
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 80%
From NCERT
NEET - 2024
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Among the four graphs shown in the figure, there is only one graph for which average velocity over the time interval \((0,T)\) can vanish for a suitably chosen \(T\). Select the graph.

1. 2.
3. 4.
Subtopic:  Graphs |
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A Cheetah can accelerate from \(0\) to \(96\) km/h in \(2\) s. What is the average acceleration of the Cheetah?
1. \(10\) m/s2
2. \(13.3\) m/s2
3. \(15\) m/s2
4. \(48\) m/s2

Subtopic:  Acceleration |
 74%
From NCERT
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A particle moving along x-direction has at any instant its x-coordinate given by, \(x = 2-5t+6t^2.\) The initial velocity of the particle is (\(x\) is in meter and \(t\) is in seconds):
1. \(2\) m/s
2. \(-5\) m/s
3. \(3\) m/s
4. \(12\) m/s
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 83%
From NCERT
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