Select Chapter Topics:

1. | \(1:1:1:1\) | 2. | \(1:2:3:4\) |

3. | \(1:4:9:16\) | 4. | \(1:3:5:7\) |

Subtopic: Uniformly Accelerated Motion |

80%

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The velocity-time graph of a particle moving along a straight line is shown in the adjacent figure. The average velocity is:

1. | \(1\) m/s |

2. | \(2\) m/s |

3. | \(1\) m/s | less than

4. | \(2\) m/s | greater than

Subtopic: Graphs |

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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. \(10\) m/s^{2} to right

3. \(5\) m/s^{2} to right

4. \(10\) m/s^{2} upward

where the units are in SI. The acceleration of the balloon is:

1. zero

2. \(10\) m/s

3. \(5\) m/s

4. \(10\) m/s

Subtopic: Acceleration |

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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 |

68%

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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. \(d_2 = 4 d_1\)

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 |

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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 |

58%

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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 |

88%

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

1. \(5\) m

2. \(2.5\) m

3. \(1.25\) m

4. \(10\) m

Subtopic: Distance & Displacement |

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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 |

64%

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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 |

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