Home
Class 11
PHYSICS
The position vector of a particle moving...

The position vector of a particle moving in XY plane at any instant of time is `x= 4t^2 hati + 3t^2hatj`. Find the instantenous speed.

Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    CHETANA PUBLICATION|Exercise EXERCISE|137 Videos
  • OPTICS

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos

Similar Questions

Explore conceptually related problems

If the position vector of a body performing rectilinear motion is given by vecr = 3t^2hati + 4t^2hatj m. Find the velocity and acceleration of the particle at t= 1sec.

Position of a particle at any instant t is given by vec r=3t hat i + 2t^2 haij + 5 hat k . Its velocity at same instant will be

The displacement of a particle moving in S.H.M. at any instant is given by y = a sin omega . The acceleration after time t=T/4 so

The position of a particle is given by the function s(t)= 2 t^2 + 3t - 4. Find the time t=c in the interval 0 le t le 4 when the instantaneous velocity of the particle equals to its average velocity in this interval.

Force acting on a particle of mass m moving in straight line varies with the velocity of the particle as F=K//V K is constant then speed of the particle in time t

The position vectors of three particles are given by vecx_1 = (5hati +5hatj) m, vecx_2 = (5thati+5t hatj) m and vecx_3 = (5thati+10t^2 hatj)m as a function of time t. Determine the velocity and acceleration for each, in SI units.

The displacement s of a particle at time t is is given by s=2 t^3 - 4 t^2 -5t. Then find the velocity at t=2 sec

The displacement s of a particle at time t is given by s = t^3 -4 t^2 -5t. Find the velocity and acceleration at t=2 sec

CHETANA PUBLICATION-MOTION IN A PLANE-EXERCISE
  1. Explain 'Relative velocity'.

    Text Solution

    |

  2. Two parallel rail tracks run north-south. Train A moves north with a s...

    Text Solution

    |

  3. The position vector of a particle moving in XY plane at any instant of...

    Text Solution

    |

  4. If the motion of an object is described by x=f(t) write formulae for i...

    Text Solution

    |

  5. The position of an object moving along the x axis is given by x = a + ...

    Text Solution

    |

  6. A train is moving east ward at 10 m s^-1. A waiter is walking eastward...

    Text Solution

    |

  7. Derive equations of motion for a particle moving in a plane and show t...

    Text Solution

    |

  8. A train is moving east ward at 10 m s^-1. A waiter is walking eastward...

    Text Solution

    |

  9. Derive equations of motion for a particle moving in a plane and show t...

    Text Solution

    |

  10. Define the terms : (i) projectile (ii) Velocity of projection (iii) An...

    Text Solution

    |

  11. Show that the path of a projectile is a parabola.

    Text Solution

    |

  12. Define (i) Times of ascent (III) Time of descent (iii) Time of flight....

    Text Solution

    |

  13. Define horizontal range. Derive the necessary expression for it.

    Text Solution

    |

  14. A projectile is thrown at an angle of 30^@ to the horizontal. What sho...

    Text Solution

    |

  15. A man throws a ball to maximum horizontal distance of 80 m. Calculate ...

    Text Solution

    |

  16. A particle is projected with speed of u at an angle theta to the horiz...

    Text Solution

    |

  17. Find a formula for maximum height attained by object

    Text Solution

    |

  18. A stone is thrown vertically upward with a velocity of 30 m//s. How hi...

    Text Solution

    |

  19. At wich point of its trajectory does the projectile have minimum speed...

    Text Solution

    |

  20. Show that for a given velocity of projection, there are two angles of ...

    Text Solution

    |