Home
Class 11
PHYSICS
A particle was at x =0 at t = 0 . It mov...

A particle was at x =0 at t = 0 . It moves with velocity v along the positive x -axis . If v changes with respect to x following the rule v = k `sqrt(x)` , how do its velocity and acceleration change with time?

Text Solution

Verified by Experts

The correct Answer is:
`v = (1)/(2) K^(2)t, a = (1)/(2) k^(2)`
Promotional Banner

Topper's Solved these Questions

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Assertion-reason type )|12 Videos

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Multiple correct answers type )|10 Videos

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise Problem Set - II ( Miscellaneous)|6 Videos

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|19 Videos

  • QUESTION PAPERS OF NEET -2017

    CHHAYA PUBLICATION|Exercise QUESTION|32 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m is moving with a uniform velocity along a straight path parallel to the x -axis. Angular momentum of the particle with respect to the origin will be

The position coordinate of a moving particle is given by x = 6+18t +9 t^(2) (where x is in metre, t in seconds. What is its velocity and acceleration at t = 2 s.

The motion of a body is defined by (dv(t))/(dt) = 6-3 v(t) where v (t) is the velocity (in m/s ) of the body at time t (in seconds ). If the body was at rest at t= 0 , find its velocity (in m/s ) when the acceleration is half the initial value.

The velocity of a particle moving along the positive direction of x-axis is v= Asqrt(x) , where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

If the displacement of a particle changes with time as sqrt(x)=t+3 , then the velocity of the particle will be proportional to

A body of mass m moving with velocity V along the X-axis, collides with another mass M moving with velocity v along the Y-axis. The masses coalesce after collision. Find the velocity and the direction of motion of the combined mass.

A particle of mass m accelerating uniformly has velocity v at time t_1 . What is work done in time t?

A particle travels half of the distance between A and B with a velocity v_(0) . During half of the time required to travel the remaining distance the particle moves with a velocity v_(1) and the rest with a velocity v_(2) . Find the average velocity of the particle.

CHHAYA PUBLICATION-ONE - DIMENSIONAL MOTION -Hots Numerical Problems (Based on Rectilinear Motion)
  1. A body with a uniform acceleration travels (9)/(25) part of its total ...

    Text Solution

    |

  2. A body with a uniform acceleration travels (9)/(25) part of its total ...

    Text Solution

    |

  3. A particle was at x =0 at t = 0 . It moves with velocity v along the p...

    Text Solution

    |

  4. Two trains, moving at velocities u(1) and u(2) travel along the same l...

    Text Solution

    |

  5. Acceleration of a body is given by a = 2sqrt(t) , where t is the time....

    Text Solution

    |

  6. A particle moves in a straight line with constant acceleration, starti...

    Text Solution

    |

  7. A particle with constant acceleration travels x m in t th second and y...

    Text Solution

    |

  8. A train starts from a station and stops at another station. First the ...

    Text Solution

    |

  9. Starting from rest a body moves at first with constant acceleration a....

    Text Solution

    |

  10. A particle crosses points A, B, C in a straight line at a constant acc...

    Text Solution

    |

  11. A particle moves along a straight line with a retardations of av^(n+1)...

    Text Solution

    |

  12. If the time taken by a particle moving at constant acceleration to tra...

    Text Solution

    |

  13. An object moving with a constant acceleration in a straight line trave...

    Text Solution

    |

  14. A particle travels half of the distance between A and B with a velocit...

    Text Solution

    |

  15. A train, initially at station A , starts its journey and eventually st...

    Text Solution

    |

  16. Two cyclists are in motion towards each other along a slightly incline...

    Text Solution

    |

  17. The velocity of a particle moving along the positive direction of x-ax...

    Text Solution

    |

  18. A particle, starting from rest, is in uniform acceleration. Its displa...

    Text Solution

    |

  19. From what height should a stone be dropped so that the ratio of the di...

    Text Solution

    |

  20. Points P, Q and R are in a vertical line such that PQ = QR. A ball at ...

    Text Solution

    |