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A car is moving with velocity v. It stops after applying breaks at a distance of 20 m. If the velocity of the car is doubled, then how much distance it will cover (travel) after applying breaks?

1. 40 m

2. 80 m

3. 160 m

4. 320 m

Subtopic: Uniformly Accelerated Motion |

80%

From NCERT

AIPMT - 1998

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A body starts falling from height 'h' and if it travels a distance of h/2 during the last second of motion, then the time of flight is (in seconds):

1. $\sqrt{2}$ $-$ $1$

2. $2$ $+$ $\sqrt{2}$ $$

3. $\sqrt{2}$ $$ $+$ $\sqrt{3}$

4. $\sqrt{3}$ $$ $+$ $2$

Subtopic: Uniformly Accelerated Motion |

From NCERT

AIPMT - 1999

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For a particle, displacement time relation is given by $t$ $=$ $\sqrt{x}$ $+$ $3$ . Its displacement, when its velocity is zero will be:

1. \(2\) m

2. \(4\) m

3. \(0\)

4. none of the above

Subtopic: Instantaneous Speed & Instantaneous Velocity |

81%

From NCERT

AIPMT - 1999

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A particle starts from rest with constant acceleration. The ratio of space-average velocity to the time-average velocity is:

where time-average velocity and space-average velocity, respectively, are defined as follows:

$<v{>}_{time}$ $=$ $\frac{\int vdt}{\int dt}$

$<v{>}_{space}$ $=$ $\frac{\int vds}{\int ds}$ $$

1. $\frac{1}{2}$

2. $\frac{3}{4}$

3. $\frac{4}{3}$

4. $\frac{3}{2}$

Subtopic: Average Speed & Average Velocity |

From NCERT

AIPMT - 1999

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The motion of a particle is given by the equation $S=(3{t}^{3}+7{t}^{2}+14t+8)m,$ The value of the acceleration of the particle at t = 1 s is :

1. | 10 m/s^{2 } |
2. | 32 m/s^{2} |

3. | 23 m/s^{2} |
4. | 16 m/s^{2} |

Subtopic: Acceleration |

93%

From NCERT

AIPMT - 2000

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A particle is thrown vertically upward. Its velocity at half its height is \(10\) m/s. Then the maximum height attained by it is: (Assume, \(g=\) \(10\) m/s^{2})

1. \(8\) m

2. \(20\) m

3. \(10\) m

4. \(16\) m

Subtopic: Uniformly Accelerated Motion |

73%

From NCERT

AIPMT - 2001

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If a ball is thrown vertically upwards with speed u, the distance covered during the last ‘t’ seconds of its ascent is:

1. ut

2. $\frac{1}{2}{\mathrm{gt}}^{2}$

3. $\mathrm{ut}-\frac{1}{2}{\mathrm{gt}}^{2}$

4. $(\mathrm{u}+\mathrm{gt})\mathrm{t}$

Subtopic: Uniformly Accelerated Motion |

65%

From NCERT

AIPMT - 2003

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A man throws some balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g = 9.8 m/s^{2})

1. More than 19.6 m/s

2. At least 9.8 m/s

3. Any speed less than 19.6 m/s

4. Only with a speed of 19.6 m/s

Subtopic: Uniformly Accelerated Motion |

67%

From NCERT

AIPMT - 2003

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A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards the earth, their respective kinetic energies will be in the ratio of:

1. 1: 4

2. 1: 2

3. 1: $\sqrt{2}$

4. $\sqrt{2}$ :1

Subtopic: Uniformly Accelerated Motion |

82%

From NCERT

AIPMT - 2004

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The displacement \(x\) of a particle varies with time \(t\) as \(x = ae^{-\alpha t}+ be^{\beta t}\)$\mathrm{}$

, where \(a,\) \(b,\) \(\alpha,\) and \(\beta\) are positive constants. The velocity of the particle will:

1. | \(\alpha\) and \(\beta.\) | be independent of

2. | go on increasing with time. |

3. | \(\alpha=\beta.\) | drop to zero when

4. | go on decreasing with time. |

Subtopic: Instantaneous Speed & Instantaneous Velocity |

52%

From NCERT

AIPMT - 2005

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