Home
Class 12
PHYSICS
A particle located at x = 0 at time t = ...

A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity that varies as `v=psqrtx`. The displacement of the particle varies with time as (where, p is constant)

A

`t^(2)`

B

`t`

C

`t^(1//2)`

D

`t^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MOTION|Exercise EXERCISE 4 PREVIOUS YEAR (LEVEL 2)|6 Videos
  • KINEMATICS

    MOTION|Exercise EXERCISE 3 SUBJECTIVE PROBLEMS (Level-2)|15 Videos
  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 Videos
  • KINETIC THEORY OF GASES

    MOTION|Exercise EXERCISE-3 SECTION-B|16 Videos

Similar Questions

Explore conceptually related problems

A particle located at x = 0 at time t = 0 , starts moving along with the positive x-direction with a velocity 'v' that varies as v = a sqrt(x) . The displacement of the particle varies with time as

A particle located at "x=0" at time "t=0" starts moving along the positive "x" - direction with a velocity "v" that varies as "v=alpha sqrt(x)".The displacement "(x)" of the particle varies with time as "(alpha" is constant)

If the displacement of a particle varies with time as sqrt x = t+ 3

A particle located at position x=0, at time t=0, starts moving along the positive x-direction with a velocity v^2=alpha x (where alpha is a positive constant). The displacement of particle is proportional to

If the displacement of a particle varies with time as sqrt(x) = t + 7 . The -

The dispkacement of particle is zero at t= 0 and it is x , at t-t . It starts moving in the positive x-direction with a velocity which varices as v= k sqrt x , where (k) is a constant. Show that velocity is directly proprtional to time.

The displacement to particle is zero at t=0 and is z at t= t . It starts moving in the positive x-direction with a velocity which varies, v= k sqrt x , wher (k) is a constant. Find the relation for variation of velocity with time.

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

A particle starts from rest and moves with acceleration a which varies with time t as a=kt where k is a costant. The displacement s of the particle at time t is

MOTION-KINEMATICS-EXERCISE 4 PREVIOUS YEAR (LEVEL 1)
  1. A car, starting from rest, accelerates at the rate (f) through a dista...

    Text Solution

    |

  2. The relation between time t and distance x is t = ax^(2)+ bx where a a...

    Text Solution

    |

  3. A projectile can have same range R for two angles of projection. It t1...

    Text Solution

    |

  4. A particle located at x = 0 at time t = 0, starts moving along the pos...

    Text Solution

    |

  5. A particle is projected at 60(@) to the horizontal with a kinetic ene...

    Text Solution

    |

  6. The velocity of a particle is v = v0 + g t + ft^2. If its position is ...

    Text Solution

    |

  7. A body is at rest at x =0 . At t = 0, it starts moving in the posi...

    Text Solution

    |

  8. Consider a rubber ball freely falling from a height h = 4.9 m onto a ...

    Text Solution

    |

  9. A particle has an initial velocity 3hati+4hatj and an accleration of 0...

    Text Solution

    |

  10. A particle is moving with velocity vecv = k( y hat(i) + x hat(j)) , w...

    Text Solution

    |

  11. A water fountain on the ground sprinkles water all around it . If the ...

    Text Solution

    |

  12. An object , moving with a speed of 6.25 m//s , is decelerated at a ra...

    Text Solution

    |

  13. A particle of mass m is projected with a velocity v making an angle of...

    Text Solution

    |

  14. A boy can throw a stone up to a maximum height of 10 m. The maximum h...

    Text Solution

    |

  15. A particle of mass m is at rest at the origin at time t=0 It is subjec...

    Text Solution

    |

  16. A projectile is given an initial velocity of ( hat(i) + 2 hat (j) ) m...

    Text Solution

    |

  17. From a tower of height H, a particle is thrown vertically upwards with...

    Text Solution

    |

  18. Two stones are through up simultaneously from the edge of a cliff 240 ...

    Text Solution

    |

  19. A body is thrown vertically upwards. Which one of the following graphs...

    Text Solution

    |

  20. All the graphs below are intended to represent the same motion. One of...

    Text Solution

    |