Home
Class 12
PHYSICS
The position vector of a particle moving...

The position vector of a particle moving in x-y plane is given by `vec(r)=(t^(2)-4)hat(i)+(t-4)hat(j)`. Find
(a) Equation of trajectory of the particle
(b)Time when it crosses x-axis and y-axis

Text Solution

Verified by Experts

(A) `y^(2)+8y+12=x,` (b0 crosses x axis when t=4 sec, crosses y axis when=`+-2sec.`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MOTION|Exercise EXERCISE 3 SUBJECTIVE PROBLEMS (Level-2)|15 Videos

  • KINEMATICS

    MOTION|Exercise EXERCISE 4 PREVIOUS YEAR (LEVEL 1)|22 Videos

  • KINEMATICS

    MOTION|Exercise EXERCISE 2 OBJECTIVE PROBLEMS (Level-2)|26 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

33 The position vector of a particle moving in x-y plane is given by r(t4)i(t4)j. Find (a) Equation of trajectory of the particle Albo in a (b) Time when it crosses x-axis and y-axis

The position vector of a particle moving in x-y plane is given by vec(r) = (A sinomegat)hat(i) + (A cosomegat)hat(j) then motion of the particle is :

The position of a particle at time moving in x-y plane is given by vec(r) = hat(i) + 2 hat(j) cos omegat . Then, the motikon of the paricle is :

The position of a particle at time moving in x-y plane is given by vec(r) = hat(i) + 2 hat(j) cos omegat . Then, the motikon of the paricle is :

Position vector of a particle moving in space is given by : vec(r)=3sin t hat i+3 cos t hatj+4 t hatk Distance travelled by the particle in 2s is :

Position vector of a particle moving in x-y plane at time t is r=a(1- cos omega t)hat(i)+a sin omega t hat(j) . The path of the particle is

The position vector of a particle of mass m= 6kg is given as vec(r)=[(3t^(2)-6t) hat(i)+(-4t^(3)) hat(j)] m . Find: (i) The force (vec(F)=mvec(a)) acting on the particle. (ii) The torque (vec(tau)=vec(r)xxvec(F)) with respect to the origin, acting on the particle. (iii) The momentum (vec(p)=mvec(v)) of the particle. (iv) The angular momentum (vec(L)=vec(r)xxvec(p)) of the particle with respect to the origin.

A particle moves in x-y plane according to the equation bar(r ) = (hat(i) + 2 hat(j)) A cos omega t the motion of the particle is

The position of a particle is given by vec(r) = 3that(i) - 4t^(2)hat(j) + 5hat(k). Then the magnitude of the velocity of the particle at t = 2 s is

MOTION-KINEMATICS-EXERCISE 3 SUBJECTIVE PROBLEMS (Level-1)
  1. The position vector of a particle moving in x-y plane is given by vec(...

    Text Solution

    |

  2. A particle moves along the space curve vec(r)=(t^(2)+t)hat(i)+(3t-2)ha...

    Text Solution

    |

  3. At time t the position vector of a particle of mass m=3kg is given by ...

    Text Solution

    |

  4. Velocity of car v is given by v = at – bt^2 , where a and b are positi...

    Text Solution

    |

  5. A stone is dropped from a height h. Simultaneously another stone is th...

    Text Solution

    |

  6. A ballon is ascending vertically with an acceleration fo 0.2m//s^(2). ...

    Text Solution

    |

  7. The velocity time graph of a body moving in a straight line is shown. ...

    Text Solution

    |

  8. The velocity- time graph of the particle moving along a straight line ...

    Text Solution

    |

  9. The force acting on a body moving in a straight line is given by F = (...

    Text Solution

    |

  10. A particle moves in xy plane such that v(x)=50-16 t and y=100-4t^(2) w...

    Text Solution

    |

  11. A particle is projected in the X-Y plane. 2 sec after projection the v...

    Text Solution

    |

  12. A particle is projected upwards with a velocity of 100 m//s at an angl...

    Text Solution

    |

  13. A particle is projected in x-y plane with y-axis along vertical, the p...

    Text Solution

    |

  14. A rocket is launched at an angle 53^(@) to the horizontal with an init...

    Text Solution

    |

  15. Two particles are moving along two long straight lines, in the same pl...

    Text Solution

    |

  16. A butterfly is flying with velocity 10hati +12hatj m//s and wind is bl...

    Text Solution

    |

  17. A man with some passengers in his boat, starts perpendicular to flow o...

    Text Solution

    |

  18. A man crosses a river in a boat. If he cross the river in minimum time...

    Text Solution

    |

  19. Rain is falling vertically with a speed of 20ms^(-1)., A person is run...

    Text Solution

    |

  20. A glass wind screen whose inclination with the vertical can be changed...

    Text Solution

    |