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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A stone projected with a velocity \(u\) at an angle \(\theta\) with the horizontal reaches maximum height \(H_1\). When it is projected with velocity *\(u\)* at an angle \(\frac{\pi}{2}-\theta\) with the horizontal, it reaches maximum height \(H_2\). The relation between the horizontal range of the projectile \(R\) and \(H_1\) & \(H_2\)_{ }is:

1. | \(R=4 \sqrt{H_1 H_2} \) | 2. | \(R=4\left(H_1-H_2\right) \) |

3. | \(R=4\left(H_1+H_2\right) \) | 4. | \(R=\frac{H_1{ }^2}{H_2{ }^2}\) |

Subtopic: Â Projectile Motion |

Â 83%

From NCERT

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An aeroplane is moving with a velocity \(u\). It drops a packet from a height \(h\). The time \(t\)* *taken by the packet to reach the ground will be:

1. \( \sqrt{\left(\frac{2 g}{h}\right)} \)

2. \( \sqrt{\left(\frac{2 u}{g}\right)} \)

3. \( \sqrt{\left(\frac{h}{2 g}\right)} \)

4. \( \sqrt{\left(\frac{2 h}{g}\right)}\)

Subtopic: Â Projectile Motion |

Â 84%

From NCERT

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The equation of trajectory of a projectile is given by \(y = x-10x^{2}\). Its speed of projection is: (\(g =1 0\) m/${\mathrm{s}}^{2}$)

1. \(1\) m/s

2. \(2\) m/s

3. \(3\) m/s

4. \(4\) m/s

Subtopic: Â Projectile Motion |

Â 73%

From NCERT

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A particle is thrown obliquely at \(t=0\). The particle has the same K.E. at \(t=5\) seconds and at \(t=9\) seconds. The particle attains maximum altitude at:

1. \(t=6\) s

2. \(t=7\) s

3. \(t=8\) s

4. \(t=14\) s

Subtopic: Â Projectile Motion |

Â 75%

From NCERT

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A body is projected with velocity \(\vec{v} = \left( \alpha \hat{i} + \beta \hat{j} \right)~\text{m/s}\). The time of flight of the body is: [considering \(x\) as horizontal and \(y\) as vertical axis and \(g\) is acceleration due to gravity]

1. \(\frac{2 \beta}{g}\)

2. \(\frac{2 \alpha}{g}\)

3. \(\frac{2 \alpha \beta}{g}\)

4. \(\frac{2 \alpha}{g \beta}\)

1. \(\frac{2 \beta}{g}\)

2. \(\frac{2 \alpha}{g}\)

3. \(\frac{2 \alpha \beta}{g}\)

4. \(\frac{2 \alpha}{g \beta}\)

Subtopic: Â Projectile Motion |

Â 77%

From NCERT

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When a particle is projected at some angle to the horizontal, it has a range \(R\) and time of flight \(t_1\). If the same particle is projected with the same speed at some other angle to have the same range, its time of flight is \(t_2\), then:

1. \(t_{1} + t_{2} = \frac{2 R}{g}\)

2. \(t_{1} - t_{2} = \frac{R}{g}\)

3. \(t_{1} t_{2} = \frac{2 R}{g}\)

4. \(t_{1} t_{2} = \frac{R}{g}\)

Subtopic: Â Projectile Motion |

Â 74%

From NCERT

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Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are \(v_{1} , v_{2}\) \(\text{and}\) \(v_{3}\) respectively, then:

1. \(v_{1} > v_{2} > v_{3}\)

2. \(v_{3} > v_{2} = v_{1}\)

3. \(v_{1} = v_{2} = v_{3}\)

4. \(v_{1} < v_{2} < v_{3}\)${\mathrm{}}_{}$

Subtopic: Â Projectile Motion |

Â 74%

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Two bullets are fired simultaneously horizontally and at different speeds from the same place. Which bullet will hit the ground first? (Air resistance is neglected)

1. | The faster one |

2. | The slower one |

3. | Depends on masses |

4. | Both will reach simultaneously |

Subtopic: Â Projectile Motion |

Â 76%

From NCERT

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