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Q. No.The \(x\)-coordinate of a particle moving along the \(x\)-axis at any instant is described by the equation:
\(x = (2-5t+6t^2),\) where \(x\) is in metres and \(t\) is in seconds.
What is the initial velocity of the particle?
1.
\(2\) m/s
2.
\(-5\) m/s
3.
\(3\) m/s
4.
\(12\) m/s
\(x = (2-5t+6t^2),\) where \(x\) is in metres and \(t\) is in seconds.
What is the initial velocity of the particle?
Subtopic: Instantaneous Speed & Instantaneous Velocity |
84%
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The study of motion of objects, without consideration of its cause, is:
1. statics
2. kinematics
3. mechanics
4. dynamics
1. statics
2. kinematics
3. mechanics
4. dynamics
Subtopic: Distance & Displacement |
89%
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A ball released from a height falls \(5~\text m\) in one second. In \(4~\text s,\) it falls through:
(take \(g=10~\text{m/s}^2\) )
1. \(40~\text m\)
2. \(20~\text m\)
3. \(80~\text m\)
4. \(120~\text m\)
(take \(g=10~\text{m/s}^2\) )
1. \(40~\text m\)
2. \(20~\text m\)
3. \(80~\text m\)
4. \(120~\text m\)
Subtopic: Uniformly Accelerated Motion |
75%
From NCERT
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A food packet is released from a helicopter rising steadily at speed of \(9.6\) m/s. After \(2\) s, speed of the packet will be:
| 1. | \(10\) m/s | 2. | \(19.6\) m/s |
| 3. | \(29.2\) m/s | 4. | \(9.8\) m/s |
Subtopic: Uniformly Accelerated Motion |
From NCERT
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The relation between acceleration and time for an object is given by, \(a=2t+t^{2}.\) If the object starts from rest, then its velocity at \(t=1\) s, is: (\(a\) is in m/s2 and \(t\) is in seconds)
1. \(\dfrac{5}{3}\) m/s
2. \(\dfrac{4}{3}\) m/s
3. \(2\) m/s
4. \(3\) m/s
1. \(\dfrac{5}{3}\) m/s
2. \(\dfrac{4}{3}\) m/s
3. \(2\) m/s
4. \(3\) m/s
Subtopic: Acceleration |
75%
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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%
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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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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. \(1:2\)
1. \(1: \sqrt{3}\)
2. \(\sqrt{3}: 1\)
3. \(1:1\)
4. \(1:2\)
Subtopic: Graphs |
75%
From NCERT
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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. \(1:3:5:7\)
1. \(1:1:1:1\)
2. \(1:2:3:4\)
3. \(1:4:9:16\)
4. \(1:3:5:7\)
Subtopic: Uniformly Accelerated Motion |
82%
From NCERT
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Given below are two statements:
| Assertion (A): | A body is momentarily at rest at the instant it reverses the direction. |
| Reason (R): | A body cannot have acceleration if its velocity is zero at a given instant of time. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
65%
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