Home
Class 12
PHYSICS
A particle moves along a straight line O...

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

24 m

B

40 m

C

56 m

D

16 m

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ONE DIMENSION MOTION

    MOTION|Exercise Exercise - 3 |Section - B Previous Year Problems | JEE MAIN|12 Videos
  • ONE DIMENSION MOTION

    MOTION|Exercise EXERCSE -2 (Section - F : Rain Problems, Aircraft wind problems, Relative Motion between two projectiles )|2 Videos
  • NLM & FRICTION

    MOTION|Exercise EXERCISE-4 ( LEVEL-II)|15 Videos
  • OPTICS

    MOTION|Exercise Exercise|45 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a straight line AB. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 600 + 12t – t^3 . How long would the particle travel before coming to rest: -

A particle is moving along a straight line OX, At a time t (in seconds) the distance x (in metres) of particle from point O is given by x=10+6t-3t^(2) . How long would the particle travel before coming to rest?

A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is

A particle is moving in a straight line. At time t the distance between the particle from its starting point is given by x=t-6t^(2)+t^(3) . Its acceleration will be zero at

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x =t- 9t^(2) + t^(3) . lts acceleration will be zero at

A particle is travelling along a straight line OX. The distance r of the particle from O at a timet is given by x = 37 + 27t- t^(3) , where t is time in seconds. The distance of the particle from O when it comes to rest is

A particle moves in a straight line and its position x and time t are related as follows: x=(2+t)^(1//2) Acceleration of the particle is given by

If S=16+(192) t-t^(3) , then distance travelled by the particle before coming to rest is

The x-t graph of particle moving along a straight line is shown in figure The v-t graph of the particles is correctly shown by

A particle moves along a straight line such that its position x at any time t is x=3t^(2)-t^(3) , where x is in metre and t in second the

MOTION-ONE DIMENSION MOTION-Exercise - 3 | Section - A Previous Year Problems | NEET
  1. A particle moves along a straight line OX. At a time t (in seconds) th...

    Text Solution

    |

  2. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heig...

    Text Solution

    |

  3. A car moves from X to Y with a uniform speed vu and returns to Y with ...

    Text Solution

    |

  4. A particle moving along x-axis has acceleration f, at time t, given by...

    Text Solution

    |

  5. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  6. The distance travelled by a particle starting from rest and moving wit...

    Text Solution

    |

  7. A particle moves in a straight line with a constant acceleration. It c...

    Text Solution

    |

  8. A particle shows distance-time curve as given in this figure. The maxi...

    Text Solution

    |

  9. A particle experiences a constant acceleration for 20 sec after starti...

    Text Solution

    |

  10. A bus is moving with a speed of 10 m s^(-1) on a straight road. A scoo...

    Text Solution

    |

  11. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

  12. A ball is droped from a high rise platform t = 0 starting from rest. A...

    Text Solution

    |

  13. A particle has an initial velocity of 3hat(i) + 4 hat(j) and an accele...

    Text Solution

    |

  14. A boy standing at the top of a tower of 20m of height drops a stone. A...

    Text Solution

    |

  15. A body is moving with velocity 30 m//s towards east. After 10 s its ve...

    Text Solution

    |

  16. A particle covers half of its total distance with speed v1 and the res...

    Text Solution

    |

  17. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  18. A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (...

    Text Solution

    |

  19. A stone falls freely under gravity. It covered distances h1, h2 and h3...

    Text Solution

    |

  20. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |