Home
Class 11
MATHS
A particle is moving on a straight line ...

A particle is moving on a straight line so that its distance s from a fixed point at any time t is proportional to `t^n`. If v be the velocity and 'a' the acceleration at any time , then `(nas)/(n-1)` equals

A

v

B

`v^(2)`

C

`v^(3)`

D

2v

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos
  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

A particle is moving along a striaght line so that t its displacement s from a fixed point on the line is given s=a sin (bt+c) where a,b,c are cosntants. If v and f are the velocity and the acceleration of the particle respectively at time t, prove that (i)v^(2)-fs is a constant (ii) (df)/(ds) is a constant and (ii) s, (df)/(ds)=f .

A particle moves along a straight line such that its displacement at any time t is given by s= (t^3- 6t^3 +3t+4) metres. The velocity when the acceleration is zero is

A particle is moving in a straight line so that after t seconds its distance is s (in cms) from a fixed point on the line is given by s= f(t)=8t+t^3. Find the velocity at time t= 2sec (ii) the initial velocity can acceleration at t=2 sec

A particle is moving in a straight line so that after 't' seconds its distance is 'S' (in cms) from a fixed point of the line is given be S=f(t)= 8t+t^3 . Find (i) the velocity at time t=2 (ii) the initial velocity (iii) acceleration at t=2 sec

AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. A particle is moving on a straight line so that its distance s from a...

    Text Solution

    |

  2. If a particle moves alonga straight line by S = 4t^(2) - 8t + 3 and th...

    Text Solution

    |

  3. The rate of change of sin t is n, then the rate of change of tan t is

    Text Solution

    |

  4. A particle moves along a straight line according to the equation s = 8...

    Text Solution

    |

  5. An angle theta through which a pulley turns with time 't' is completed...

    Text Solution

    |

  6. A particle moves along a line by s = (t^(3))/(3) - 3t^(2) + 8t then th...

    Text Solution

    |

  7. A particle 'p' moves along a straight line away from a point 'O' obeyi...

    Text Solution

    |

  8. If the rate of change of sine and tangent of the same angle are equal ...

    Text Solution

    |

  9. If the displacement in time t of a particle is given by s = ae^(t) + b...

    Text Solution

    |

  10. If the distance S travelled by a particle in time t is given by s = t^...

    Text Solution

    |

  11. The displacement of a particle in time 't' is given by S = t^(3) - t^(...

    Text Solution

    |

  12. A particle moves in a straight line according to the law v^(2) = 4a (x...

    Text Solution

    |

  13. The distance moved by the particle in time 't' is given by S = t^(2) -...

    Text Solution

    |

  14. A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) the...

    Text Solution

    |

  15. If the distance travelled by a particle is x = sqrt(pt^(2) + 2qt + r...

    Text Solution

    |

  16. If a particle moves along a line by S = sqrt(1 + t) then its accelerat...

    Text Solution

    |

  17. A particle moves on a line according to the law s = at^(2) + bt + c. I...

    Text Solution

    |

  18. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

    Text Solution

    |

  19. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

  20. A variable triangle ABC is inscribed in a circle of diameter x units. ...

    Text Solution

    |

  21. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |