At the top of the trajectory of a projectile, the directions of its velocity and acceleration are

1. Perpendicular to each other

2. Parallel to each other

3. Inclined to each other at an angle of 45°

4. Antiparallel to each other

Subtopic: Projectile Motion |

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

1. $-2\hat{\mathrm{i}}+3\hat{\mathrm{j}}$

2. $2\hat{\mathrm{i}}-3\hat{\mathrm{j}}$

3. $2\hat{\mathrm{i}}+3\hat{\mathrm{j}}$

4. $-2\hat{\mathrm{i}}-3\hat{\mathrm{j}}$

Subtopic: Projectile Motion |

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A stone projected with a velocity *u* at an angle *θ* with the horizontal reaches maximum height *H*_{1}. When it is projected with velocity *u* at an angle $\left(\frac{\pi}{2}-\theta \right)$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(*H*_{1} – *H*_{2})

3. *R* = 4(*H*_{1} + *H*_{2})

4. $R=\frac{{{H}_{1}}^{2}}{{{H}_{2}}^{2}}$

Subtopic: Projectile Motion |

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A missile is fired for a maximum range with an initial velocity of 20 m/s. If g= 10 m/s^{2}, then the range of the missile will be

1. 50 m

2. 60 m

3. 20 m

4. 40 m

Subtopic: Projectile Motion |

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A ball is projected at a certain angle with initial velocity u. It covers horizontal range R. With what initial velocity it should be projected keeping the angle of projection the same so that its horizontal range becomes 2.25R?

1. 2.5u

2. 1.5u

3. 2.25u

4. 0.25u

Subtopic: Projectile Motion |

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For a projectile projected at angles (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio of:

1. 1:1

2. 2:3

3. 1:2

4. 2:1

Subtopic: Projectile Motion |

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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 in reaching the ground will be

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

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

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

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

Subtopic: Projectile Motion |

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The position coordinates of a projectile projected from ground on a certain planet (with no atmosphere) are given by $\mathrm{y}=(4\mathrm{t}-2{\mathrm{t}}^{2})\mathrm{m}$ and $\mathrm{x}=\left(3\mathrm{t}\right)$ metre, where t is in seconds and point of projection is taken as the origin. The angle of projection of projectile with vertical is

1. $30\xb0$

2. $37\xb0$

3. $45\xb0$

4. $60\xb0$

Subtopic: Projectile Motion |

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

1. Time of flight

2. Horizontal range of projectile

3. Max height acquired

4. All of the above

Subtopic: Projectile Motion |

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The equation of trajectory of a projectile is given by y = x - 10${\mathrm{x}}^{2}$. Its speed of projection is:

(g = 10 m/${\mathrm{s}}^{2}$)

1. 1 m/s

2. 2 m/s

3. 3 m/s

4. 4 m/s

Subtopic: Projectile Motion |

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