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The study of motion of objects, without consideration of its cause, is:

1. | statics | 2. | kinematics |

3. | mechanics | 4. | dynamics |

Subtopic: Distance & Displacement |

88%

From NCERT

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The location of a particle is changed. What can we say about the displacement and distance covered by the particle?

1. | Both cannot be zero. |

2. | One of the two may be zero. |

3. | Both must be zero. |

4. | If one is positive, the other is negative, and vice-versa. |

Subtopic: Distance & Displacement |

59%

From NCERT

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A car moves with a speed of \(60\) km/h for \(1\) hour in the east direction and with the same speed for \(30\) min in the south direction. The displacement of the car from the initial position is:

1. \(60\) km

2. \(30 \sqrt{2}\) km

3. \(30 \sqrt{5}\) km

4. \(60 \sqrt{2}\) km

Subtopic: Distance & Displacement |

69%

From NCERT

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A particle moves along a path \(ABCD\) as shown in the figure. The magnitude of the displacement of the particle from \(A\) to \(D\) is:

1. $(5+10\sqrt{2})$m

2. \(10\) m

3. $15\sqrt{2}$ m

4. \(15\) m

Subtopic: Distance & Displacement |

69%

From NCERT

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A drunkard walking in a narrow lane takes \(5\) steps forward and \(3\) steps backward, followed again by \(5\) steps forward and \(3\) steps backward, and so on. Each step is \(1\) m long and requires \(1\) s. There is a pit on the road \(13\) m away from the starting point. The drunkard will fall into the pit after:

1. \(37\) s

2. \(31\) s

3. \(29\) s

4. \(33\) s

Subtopic: Distance & Displacement |

61%

From NCERT

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The figure shows the displacement-time graph of a particle moving on the x-axis. Then,

1. | the particle is continuously going in a positive x-direction. |

2. | the particle is at rest. |

3. | the velocity increases up to a time \(t_0\), and then becomes constant. |

4. | the particle moves at a constant velocity up to a time \(t_0\), and then stops. |

Subtopic: Graphs |

68%

From NCERT

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The figure gives the \((\mathrm{x-t})\) plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals \(1,\) \(2\) & \(3,\) respectively are:

1. | \(-,-,+\) |

2. | \(+,-,+\) |

3. | \(-,+,+\) |

4. | \(+,+,-\) |

$$

$$

Subtopic: Average Speed & Average Velocity |

89%

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If a body travels some distance in a given time interval, then for that time interval, its:

1. | Average speed ≥ |Average velocity| |

2. | |Average velocity| ≥ Average speed |

3. | Average speed < |Average velocity| |

4. | |Average velocity| must be equal to average speed. |

Subtopic: Average Speed & Average Velocity |

83%

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A car moves from \(\mathrm{X}\) to \(\mathrm{Y}\) with a uniform speed \(\mathrm{v_u}\) and returns to \(\mathrm{X}\) with a uniform speed \(\mathrm{v_d}.\) The average speed for this round trip is:

1. $\frac{2{\mathrm{v}}_{\mathrm{d}}{\mathrm{v}}_{\mathrm{u}}}{{\mathrm{v}}_{\mathrm{d}}+{\mathrm{v}}_{\mathrm{u}}}$

2. $\sqrt{{\mathrm{v}}_{\mathrm{u}}{\mathrm{v}}_{\mathrm{d}}}$

3. $\frac{{\mathrm{v}}_{\mathrm{d}}{\mathrm{v}}_{\mathrm{u}}}{{\mathrm{v}}_{\mathrm{d}}+{\mathrm{v}}_{\mathrm{u}}}$

4. $\frac{{\mathrm{v}}_{\mathrm{u}}+{\mathrm{v}}_{\mathrm{d}}}{2}$

Subtopic: Average Speed & Average Velocity |

82%

From NCERT

AIPMT - 2007

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The position of an object moving along the x-axis is given by, \(x=a+bt^2\) where \(a=8.5\) m, \(b=2.5\) ms^{-2}, and \(t\) is measured in seconds. Its velocity at \(t=2.0\) s will be:

1. \(13\) m/s

2. \(17\) m/s

3. \(10\) m/s

4. \(0\)

Subtopic: Instantaneous Speed & Instantaneous Velocity |

85%

From NCERT

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