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The figure given below shows the displacement and time, \((x\text -t)\) graph of a particle moving along a straight line:

The correct statement, about the motion of the particle, is:

1. | the particle moves at a constant velocity up to a time \(t_0\) and then stops. |

2. | the particle is accelerated throughout its motion. |

3. | the particle is accelerated continuously for time \(t_0\) then moves with constant velocity. |

4. | the particle is at rest. |

Subtopic: Graphs |

75%

From NCERT

NEET - 2022

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The position-time \((x\text-t)\) graph for positive acceleration is:

1. | 2. | ||

3. | 4. |

Subtopic: Graphs |

80%

From NCERT

NEET - 2022

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A stone is thrown vertically downwards with an initial velocity of \(40\) m/s from the top of a building. If it reaches the ground with a velocity of \(60\) m/s, then the height of the building is: (Take \(g=10\) m/s^{2})

1. | \(120\) m | 2. | \(140\) m |

3. | \(80\) m | 4. | \(100\) m |

Subtopic: Uniformly Accelerated Motion |

83%

From NCERT

NEET - 2022

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The ratio of the distances travelled by a freely falling body in the \(1\)^{st}, \(2\)^{nd}, \(3\)^{rd} and \(4\)^{th} second is:

1. \(1:1:1:1\)

2. \(1:2:3:4\)

3. \(1:4:9:16\)

4. \(1:3:5:7\)

1. \(1:1:1:1\)

2. \(1:2:3:4\)

3. \(1:4:9:16\)

4. \(1:3:5:7\)

Subtopic: Uniformly Accelerated Motion |

81%

From NCERT

NEET - 2022

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The displacement-time \((s\text-t)\) graphs of two moving particles \(A~\text{and}~B\) make angles of \(30^\circ\) and \(45^\circ\) with the \(x\text-\)axis as shown in the figure. The ratio of their respective velocity \(\left(\dfrac{v_A}{v_B}\right) \) is:

1. \(1: \sqrt{3}\)

2. \(\sqrt{3}: 1\)

3. \(1:1\)

4. \(1:2\)

1. \(1: \sqrt{3}\)

2. \(\sqrt{3}: 1\)

3. \(1:1\)

4. \(1:2\)

Subtopic: Graphs |

73%

From NCERT

NEET - 2022

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A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v.\) Its average speed is:

1. \(\frac{3v}{4}\)

2. \(\frac{v}{3}\)

3. \(\frac{2v}{3}\)

4. \(\frac{4v}{3}\)

1. \(\frac{3v}{4}\)

2. \(\frac{v}{3}\)

3. \(\frac{2v}{3}\)

4. \(\frac{4v}{3}\)

Subtopic: Average Speed & Average Velocity |

67%

From NCERT

NEET - 2023

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A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\) ms^{–1}. The ball strikes the water surface after \(4\) s. The height of bridge above water surface is: (Take \(g=10~ \text {ms}^{-2}\) )

1. | \(68\) m | 2. | \(56\) m |

3. | \(60\) m | 4. | \(64\) m |

Subtopic: Uniformly Accelerated Motion |

66%

From NCERT

NEET - 2023

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A small block slides down on a smooth inclined plane starting from rest at time \(t=0.\) Let \(S_n\)_{ }be the distance traveled by the block in the interval \(t=n-1\) to \(t=n.\) Then the ratio \(\dfrac{S_n}{S_{n +1}}\) is:

1. | \(\dfrac{2n+1}{2n-1}\) | 2. | \(\dfrac{2n}{2n-1}\) |

3. | \(\dfrac{2n-1}{2n}\) | 4. | \(\dfrac{2n-1}{2n+1}\) |

Subtopic: Uniformly Accelerated Motion |

58%

From NCERT

NEET - 2021

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A person sitting on the ground floor of a building notices through the window, of height \(1.5~\text{m}\), a ball dropped from the roof of the building crosses the window in \(0.1~\text{s}\). What is the velocity of the ball when it is at the topmost point of the window? \(\left(g = 10~\text{m/s}^2\right )\)

1. | \(15.5~\text{m/s}\) | 2. | \(14.5~\text{m/s}\) |

3. | \(4.5~\text{m/s}\) | 4. | \(20~\text{m/s}\) |

Subtopic: Uniformly Accelerated Motion |

64%

From NCERT

NEET - 2020

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The velocity (\(v\))- time (\(t\)) plot of the motion of a body is shown below:

The acceleration (\(a\))- time (\(t\)) graph that best suits this motion is:

The acceleration (\(a\))- time (\(t\)) graph that best suits this motion is:

1. | 2. | ||

3. | 4. |

Subtopic: Graphs |

76%

From NCERT

NEET - 2024

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