Home
Class 12
PHYSICS
A particle moves in space along the path...

A particle moves in space along the path `z=ax^(3)+by^(2)` in such a way that `(dx)/(dt)=c=(dy)/(dt)` where `a,b` and `c` are constants. The acceleration of the particle is

A

`(6ac^(2)x+2bc^(2))hat(k)`

B

`(2ax^(2)+6by^(2))hat(k)`

C

`(4bc^(2)x+3ac^(2))hat(k)`

D

`(bc^(2)x+2by)hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 98

    NTA MOCK TESTS|Exercise PHYSICS|24 Videos

  • NTA NEET SET 100

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

A particle moves along a path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

A particle moves along a parabolic parth y = 9x^(2) in such a way that the x-component of velocity remains constant and has a value 1/3 ms ^(-1) . The acceleration of the particle is -

A particle moves along the parabolic path y=ax^(2) in such a The accleration of the particle is:

A particle moves along the parabola y^(2)=2ax in such a way that its projection on y-axis has a constant velocity.Show that its projection on the x-axis moves with constant acceleration

A particle moves uniformly with speed v along a parabolic path y = kx^(2) , where k is a positive constant. Find the acceleration of the particle at the point x = 0.

The angular acceleration of a particle moving along a circle is given by a=ksin (theta),where "theta" is the angle turned by particle and k is constant.The centripetal acceleration of the particle in terms of k ,theta and R (radius of circle) is given by

A particle moves along a constant curvature path between A and B (length of curve wire AB is 100m ) with a constant speed of 72km//hr . The acceleration of particle at mid point 'C' of curve AB is

Displacement (x) of a particle is related to time (t) as x = at + b t^(2) - c t^(3) where a,b and c are constant of the motion. The velocity of the particle when its acceleration is zero is given by:

A particle moves along a straight line to follow the equation ax^(2) + bv^(2) = k , where a, b is and k are constant and x and and x axis coordirete and velocity of the particle respectively find the amplitude

NTA MOCK TESTS-NTA JEE MOCK TEST 99-PHYSICS
  1. The surface of a metal is illuminated with the light of 400 nm The kin...

    Text Solution

    |

  2. The cylindrical tube of a spray pump has a cross-section of 8 cm^2, on...

    Text Solution

    |

  3. There are two waves having wavelength 100 cm and 101 cm and same veloc...

    Text Solution

    |

  4. An artificial satellite is made to move in circular orbits of differen...

    Text Solution

    |

  5. The figure shows two isotherms at temperatures T(1) and T(2). A gas is...

    Text Solution

    |

  6. A uniform solid cylindrical roller of mass 'm' is being pulled on a ho...

    Text Solution

    |

  7. Two spherical black bodies of radii R(1) and R(2) and with surface tem...

    Text Solution

    |

  8. A particle moves in space along the path z=ax^(3)+by^(2) in such a way...

    Text Solution

    |

  9. The radius of the Earth is 6400 km. If the height of an antenna is 500...

    Text Solution

    |

  10. The deceleration experienced by a moving motor boat, after its engine ...

    Text Solution

    |

  11. The relationship between the force F and position x of body is as show...

    Text Solution

    |

  12. Let lambda(alpha'), lambda(beta),and lambda'(alpha) denote the wavele...

    Text Solution

    |

  13. The values of two resistors are R(1)=(6+-0.3)kOmega and R(2)=(10+-0.2)...

    Text Solution

    |

  14. If the slab is brought inside the parallel plate capacitor with a spee...

    Text Solution

    |

  15. An arc of a circular loop of radius R is kept in the horizontal plane ...

    Text Solution

    |

  16. Two blocks of masses 10 kg and 4 kg are connected by a spring of negli...

    Text Solution

    |

  17. Two wires that are made up of two different materials whose specific r...

    Text Solution

    |

  18. If the rms value of the voltage of the waveform shown below is sqrt((p...

    Text Solution

    |

  19. In a meter-bridge experiment with a resistance R(1) in left gap and a...

    Text Solution

    |

  20. Cobalt-57 is radioactive, emitting beta-particles.The half-life for th...

    Text Solution

    |