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Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time ${t}_{1}$. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time ${t}_{2}$. The time taken by her to walk up on the moving escalator will be

(1)$\frac{{t}_{1}-{t}_{2}}{2}$

(2)$\frac{{t}_{1}{t}_{2}}{{t}_{2}-{t}_{1}}$

(3) $\frac{{t}_{1}{t}_{2}}{{t}_{2}+{t}_{1}}$

(4) ${t}_{1}-{t}_{2}$

Subtopic: Relative Motion |

76%

From NCERT

NEET - 2017

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The \(x\) and \(y\) coordinates of the particle at any time are \(x=5 t-2 t^2\) and \({y}=10{t}\) respectively, where \(x\) and \(y\) are in meters and \(\mathrm{t}\) in seconds. The acceleration of the particle at \(\mathrm{t}=2\) s is:

1. | \(5\hat{i}~\text{m/s}^2\) | 2. | \(-4\hat{i}~\text{m/s}^2\) |

3. | \(-8\hat{j}~\text{m/s}^2\) | 4. | \(0\) |

Subtopic: Acceleration |

81%

From NCERT

NEET - 2017

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A particle moves so that its position vector is given by \(r=\cos \omega t \hat{x}+\sin \omega t \hat{y}\) where \(\omega\) is a constant. Based on the information given, which of the following is true?

1. | Velocity and acceleration, both are parallel to r. |

2. | Velocity is perpendicular to r and acceleration is directed towards the origin. |

3. | Velocity is not perpendicular to r and acceleration is directed away from the origin. |

4. | Velocity and acceleration, both are perpendicular to r. |

Subtopic: Acceleration |

70%

From NCERT

NEET - 2016

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A particle of mass 10g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8x10^{-4} J by the end of the second revolution after the beginning of the motion?

(1) 0.15 m/s^{2}

(2) 0.18 m/s^{2}

(3) 0.2 m/s^{2}

(4) 0.1 m/s^{2}

Subtopic: Circular Motion |

From NCERT

NEET - 2016

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In the given figure, \(a=15\) m/s^{2} represents the total acceleration of a particle moving in the clockwise direction in a circle of radius \(R=2.5\) m at a given instant of time. The speed of the particle is:

1. \(4.5\) m/s

2. \(5.0\) m/s

3. \(5.7\) m/s

4. \(6.2\) m/s

Subtopic: Circular Motion |

61%

From NCERT

NEET - 2016

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A particle moves so that its position vector is given by, \(\vec{r}=\mathrm{cos} \omega t ~\hat{x}+ \mathrm{sin} \omega t~ \hat{y},\) where \(\omega\) is a constant. Which of the following is true?

1. | velocity and acceleration both are parallel to \(\vec{r}.\) |

2. | velocity is perpendicular to \(\vec{r}\) and acceleration is directed towards to origin. |

3. | velocity is parallel to \(\vec{r}\) and acceleration is directed away from the origin. |

4. | velocity and acceleration both are perpendicular to \(\vec{r}.\) |

Subtopic: Circular Motion |

78%

From NCERT

NEET - 2016

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A particle of mass \(10\) g moves along a circle of radius \(6.4\) cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to \(8 \times 10^{-4}\)^{ }J by the end of the second revolution after the beginning of the motion?

1. | \(0.15\) m/s^{2} |
2. | \(0.18\) m/s^{2} |

3. | \(0.2\) m/s^{2} |
4. | \(0.1\) m/s^{2} |

Subtopic: Circular Motion |

53%

From NCERT

NEET - 2016

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