Select Chapter Topics:

Assertion (A): |
Displacement of a body may be zero when distance travelled by it is not zero. |

Reason (R): |
The displacement is the longest distance between initial and final position. |

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. | Both (A) and (R) are False. |

Subtopic: Distance & Displacement |

85%

From NCERT

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A particle moves a distance \(x\) in time \(t\) according to equation \(x = (t+5)^{-1}\). The acceleration of the particle is proportional to:

1. | \((\text{velocity})^{\frac{3}{2}}\) | 2. | \((\text{distance})^2\) |

3. | \((\text{distance})^{-2}\) | 4. | \((\text{velocity})^{\frac{2}{3}}\) |

Subtopic: Acceleration |

66%

From NCERT

NEET - 2010

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A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:

1. B

2. C

3. D

4. A

Subtopic: Graphs |

73%

From NCERT

NEET - 2008

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A particle moves in a straight line, according to the law \(x=4a[t+a\sin(t/a)], \) where \(x\) is its position in metres, \(t\) is in seconds & \(a\) is some constant, then the velocity is zero at:

1. | \(x = 4 a^2\pi\) metres | 2. | \(t = \pi\) sec |

3. | \(t =0\) sec | 4. | none of the above |

Subtopic: Instantaneous Speed & Instantaneous Velocity |

From NCERT

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A point moves in a straight line so that its displacement is \(x\) m at time \(t\) sec, given by ${\mathrm{}}^{}$\(x^2= t^2+1\)

1. \(\frac{1}{x}\)

2. \(\frac{1}{x} - \frac{1}{x^{3}}\)

3. \(\frac{2}{x}\)

4. \(-\frac{t^2}{x^3}\)

Subtopic: Acceleration |

50%

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The position \(x\) of a particle moving along the \(x\)-axis varies with time \(t\) as \(x=20t-5t^2,\)

where \(x\) is in meters and \(t\) is in seconds. The particle reverses its direction of motion at:

1. \(x=40~\text{m}\)

2. \(x=10~\text{m}\)

3. \(x=20~\text{m}\)

4. \(x=30~\text{m}\)

Subtopic: Instantaneous Speed & Instantaneous Velocity |

80%

From NCERT

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Two cars \(A\) and \(B\) are travelling in the same direction with velocities \(v_1\) and \(v_2\) \((v_1>v_2).\) When the car \(A\) is at a distance \(d\) behind car \(B\), the driver of the car \(A\) applied the brake producing uniform retardation \(a\)*.* There will be no collision when:

1. \(d < \frac{\left( v_{1} - v_{2} \right)^{2}}{2 a}\)

2. \(d < \frac{v_{1}^{2} - v_{2}^{2}}{2 a}\)

3. \(d > \frac{\left(v_{1} - v_{2}\right)^{2}}{2 a}\)

4. \(d > \frac{v_{1}^{2} - v_{2}^{2}}{2 a}\)

Subtopic: Relative Motion in One Dimension |

59%

From NCERT

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Which of the following four statements is false?

1. | A body can have zero velocity and still be accelerated. |

2. | A body can have a constant velocity and still have a varying speed. |

3. | A body can have a constant speed and still have a varying velocity. |

4. | The direction of the velocity of a body can change when its acceleration is constant. |

Subtopic: Instantaneous Speed & Instantaneous Velocity |

65%

From NCERT

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The initial velocity of a particle is \(u\) (at \(t=0\)) and the acceleration \(f\) is given by \(at\). Which of the following relation is valid?

1. \(v = u + a t^{2}\)

2. \(v = u + a \frac{t^{2}}{2}\)

3. \(v = u + a t\)

4. \(v= u\)

Subtopic: Non Uniform Acceleration |

From NCERT

PMT - 1981

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A stone falls freely from rest from a height \(h\) and it travels a distance of \(\frac{9 h}{25}\) in the last second. The value of \(h\) is:

1. | \(145\) m | 2. | \(100\) m |

3. | \(122.5\) m | 4. | \(200\) ms |

Subtopic: Uniformly Accelerated Motion |

71%

From NCERT

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