Home
Class 12
PHYSICS
A particle moves in a straight line and...

A particle moves in a straight line and its position x at time t is given by `x^(2)=2+t`. Its acceleration is given by :-

A

`(-2)/(x^(3))`

B

`-(1)/(4x^(3))`

C

`-(1)/(4x^(2))`

D

`(1)/(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (NEWTONS LAWS OF MOTION)|49 Videos

  • RACE

    ALLEN |Exercise Basic Maths (FRICTION)|13 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Units, Dimensions & Measurements)|37 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a straight line and its position as a function of time is given by x = t6(3) - 3t6(2) +3t +3 , then particle

The displacement 'x' of a particle moving along a straight line at time t is given by x=a_(0)+a_(1)t+a_(2)t^(2) . The acceleration of the particle is :-

A particle moves along a straight line OX . At a time t (in seconds) the distance x (in metre) of the particle is given by x = 40 +12 t - t^3 . How long would the particle travel before coming to rest ?

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

A particle covers distance S in time t is given by S=t^(3)-6t^(2)+6t+8 . When the acceleration is 0, the velocity is …………

The position of a particle moving along a straight line is given by x =2 - 5t + t ^(3). Find the acceleration of the particle at t =2 s. (x is metere).

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

The position of a particle moving along a. straight line is given by x = 2 - 5t + t ^(3) The acceleration of the particle at t = 2 sec. is ...... Here x is in meter.

The graph between the displacement x and time t for a particle moving in a straight line is shown in the figure. During the interval OA, AB, BC and CD the acceleration of the particle is OA, AB, BC, CD

The acceleration-time graph of a particle moving along a straight line is as shown in. At what time the particle acquires its initial velocity? .

ALLEN -RACE-Basic Maths (KINEMATICS)
  1. A body is moving with variable acceleartion (a) along a straight line....

    Text Solution

    |

  2. A particla starting from rest undergoes acceleration given by a=|t-2|"...

    Text Solution

    |

  3. A particle moves in a straight line and its position x at time t is g...

    Text Solution

    |

  4. A car is moving with a velocity of 10 m/s. Suddenly driver sees a chil...

    Text Solution

    |

  5. A body moving with uniform acceleration covers a distance of 14 m in f...

    Text Solution

    |

  6. A particle starts from rest with uniform acceleration a. Its velocity...

    Text Solution

    |

  7. A car starts from rest and moves with uniform acceleration for time t ...

    Text Solution

    |

  8. A particle starts from rest accelerates at 2 m//s^2 for 10 s and then ...

    Text Solution

    |

  9. A body is projected vertically upward with speed 40m/s. The distance t...

    Text Solution

    |

  10. A body is thrown vertically upwards and takes 5 seconds to reach maxim...

    Text Solution

    |

  11. A ball is dropped from a height h above ground. Neglect the air resist...

    Text Solution

    |

  12. A ball is thrown upward from edge of a cliff with an intial velocity o...

    Text Solution

    |

  13. A body projected vertically upwards, reaches a height of 180 m. Find o...

    Text Solution

    |

  14. A particle is projected vertically upwards from the earth. It crosses ...

    Text Solution

    |

  15. A body is dropped from the top of a tower and it covers a 80 m distanc...

    Text Solution

    |

  16. A ball is thrown upward from edge of a cliff with an intial velocity o...

    Text Solution

    |

  17. If vecv=(4hati+5hatj+6k) m/s and m=(2)/(7)kg then find kinetic energy ...

    Text Solution

    |

  18. A body is dropped from a tower. It covers 64% distance of its total he...

    Text Solution

    |

  19. A ball is projected in a manner such that its horizontal gange is n ti...

    Text Solution

    |

  20. A ball is projected from ground in such a way that after 10 seconds of...

    Text Solution

    |