In a projectile motion the velocity,

1. | is always perpendicular to the acceleration |

2. | is never perpendicular to the acceleration |

3. | is perpendicular to the acceleration for one instant only |

4. | is perpendicular to the acceleration for two instants |

Subtopic: Â Projectile Motion |

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A projectile is fired so as to give a maximum horizontal range of \(1\) km. What would be the maximum height reached by it if it were to be fired vertically upward?

1. | \(2\) km | 2. | \(1\) km |

3. | \(\dfrac12\) km | 4. | \(\dfrac14\) km |

Subtopic: Â Projectile Motion |

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Consider the two situations shown in the figures. In figure (A), the particle \(P\) is given a velocity \(u\) up a smooth horizontal incline and it reaches a maximum vertical height \(h_A\). In figure (B), the same particle \(P\) is projected with a velocity \(u\) at an angle \(\theta\) (parallel to the previous incline) and reaches a maximum height \(h_B\).

Then,

1. | \(h_A=h_B~\text{sin}\theta\) |

2. | \(h_A~\text{sin}\theta=h_B\) |

3. | \(h_A~\text{sin}^2\theta=h_B\) |

4. | \(\frac{h_A}{\text{sin}^2\theta}=h_B\) |

Subtopic: Â Projectile Motion |

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Two projectiles are launched, one at twice the speed of the other; the slower one at \(30^\circ\) and the faster one at \(60^\circ.\) Their horizontal ranges are in the ratio: (slower : faster)

1. | \(\dfrac{1}{2}\) | 2. | \(\dfrac{1}{4}\) |

3. | \(\dfrac{1}{6}\) | 4. | \(\dfrac{1}{12}\) |

Subtopic: Â Projectile Motion |

Â 77%

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The velocity of a projectile at the initial point \(A\) is \(2\hat i+3\hat j~\)m/s. Its velocity (in m/s) at point \(B\) is:

1. | \(-2\hat i+3\hat j~\) | 2. | \(2\hat i-3\hat j~\) |

3. | \(2\hat i+3\hat j~\) | 4. | \(-2\hat i-3\hat j~\) |

Subtopic: Â Projectile Motion |

Â 83%

From NCERT

AIPMT - 2013

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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:

1. \(\theta = \tan^{-1}\left(\frac{1}{4}\right)\)

2. \(\theta = \tan^{-1}(4)\)

3. \(\theta = \tan^{-1}(2)\)

4. \(\theta = 45^{\circ}\)

1. \(\theta = \tan^{-1}\left(\frac{1}{4}\right)\)

2. \(\theta = \tan^{-1}(4)\)

3. \(\theta = \tan^{-1}(2)\)

4. \(\theta = 45^{\circ}\)

Subtopic: Â Projectile Motion |

Â 75%

From NCERT

AIPMT - 2012

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If two projectiles, with the same masses and with the same velocities, are thrown at an angle \(60^\circ\) & \(30^\circ\) with the horizontal, then which of the following quantities will remain the same?

1. | time of flight |

2. | horizontal range of projectile |

3. | maximum height acquired |

4. | all of the above |

Subtopic: Â Projectile Motion |

Â 79%

From NCERT

AIPMT - 2000

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