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A particle moves with velocity *\(v_1\)* for time \(t_1\) and \(v_2\) for time \(t_2\) along a straight line. The magnitude of its average acceleration is:

1. $\frac{{v}_{2}-{v}_{1}}{{t}_{1}-{t}_{2}}$

2. $\frac{{v}_{2}-{v}_{1}}{{t}_{1}+{t}_{2}}$

3. $\frac{{v}_{2}-{v}_{1}}{{t}_{2}-{t}_{1}}$

4. $\frac{{v}_{1}+{v}_{2}}{{t}_{1}-{t}_{2}}$

Subtopic: Acceleration |

55%

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A body is projected vertically in the upward direction from the surface of the earth. If the upward direction is taken as positive, then the acceleration of the body during its upward and downward journey is:

1. Positive, negative

2. Negative, negative

3. Positive, positive

4. Negative, positive

Subtopic: Acceleration |

63%

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A car travelling at a speed of \(30\) km/h is brought to rest at a distance of \(8\) m by applying brakes. If the same car is moving at a speed of \(60\) km/h, then it can be brought to rest with the same brakes in:

1. \(64\) m

2. \(32\) m

3. \(16\) m

4. \(4\) m

Subtopic: Uniformly Accelerated Motion |

78%

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A balloon starts from the ground from rest with an upward acceleration of \(2\) m/s^{2}. After \(1\) sec, a stone is dropped from it. The time taken by the stone to strike the ground is approximately:

1. \(0.3\) s

2. \(0.7\) s

3. \(1\) s

4. \(1.4\) s

Subtopic: Uniformly Accelerated Motion |

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Which one of the following displacement-time graph represents two moving objects \(P\) and \(Q\) with zero relative velocity?

1. | 2. | ||

3. | 4. |

Subtopic: Graphs |

85%

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A body is thrown upwards and reaches its maximum height. At that position:

1. | its velocity is zero and its acceleration is also zero. |

2. | its velocity is zero but its acceleration is maximum. |

3. | its acceleration is minimum. |

4. | its velocity is zero and its acceleration is the acceleration due to gravity. |

Subtopic: Uniformly Accelerated Motion |

83%

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When the velocity of a body is variable, then:

1. | its speed may be constant |

2. | its acceleration may be constant |

3. | its average acceleration may be constant |

4. | all of the above |

Subtopic: Acceleration |

71%

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If a particle is moving along a straight line with increasing speed, then:

1. | its acceleration is negative. |

2. | its acceleration may be decreasing. |

3. | its acceleration is positive. |

4. | both (2) & (3) |

Subtopic: Acceleration |

60%

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A body in one-dimensional motion has zero speed at an instant. At that instant, it must have:

1. | zero velocity. | 2. | zero acceleration. |

3. | non-zero velocity. | 4. | non-zero acceleration. |

Subtopic: Instantaneous Speed & Instantaneous Velocity |

73%

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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 |

70%

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