Home
Class 11
PHYSICS
A body is projected up such that its pos...

A body is projected up such that its position vector varies with time as `r = { 3thati + (4 t - 5t^2)hatj}` m. Here, t is in seconds. Find the time and x-coordinate of particle when its y-coordinate is zero.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

y-coordinate of particle is zero
when,
`4t - 5t^2 = 0`
`:. t = 0 and 0.8 s`
`x = 3t`
at t = 0, x = 0
and at t=0.8 s, x = 2.4 m.
Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 Single Correct|10 Videos
  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 More Than One Correct|8 Videos
  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 1 Single Correct|16 Videos
  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos
  • PROPERTIES OF MATTER

    DC PANDEY|Exercise Integer|8 Videos

Similar Questions

Explore conceptually related problems

A body is projected up such that its position vector varies with time as vecr={3thati+(4t-5t^(2))hatj} m . Here t is in second.The time when its y -coordinate is zero is

Find the time t_0 when x-coordinate of the particle is zero.

A body is projected up such that its position vector varies with time as barr=6t hati+(8t-5t^(2))hatj. Find the (a) initial velocity (b) time of fight.

An object moves along x-axis such that its position varies with time according to the relation x=50t-5t^(2) Here, x is in meters and time is in seconds. Find the displacement and distance travelled for the time interval t = 0 to t = 6 s.

A particle moves in a plane such that its coordinates changes with time as x = at and y = bt , where a and b are constants. Find the position vector of the particle and its direction at any time t.

A particle moves in space such that its position vector varies as vec(r)=2thati+3t^(2)hatj . If mass of particle is 2 kg then angular momentum of particle about origin at t=2 sec is

The velocity vector of a body is given by vec(v)=2hati+(3-6t)hatj m//s . At the initial moment the body is at origin. Find x-coordinate (in m) at the time when its y-coordinate is maximum.

Velocity of a particle of mass 2kg varies with time t according to the equation vec(v)=(2thati+4hatj) m//s . Here t is in seconds. Find the impulse imparted to the particle in the time interval from t=0 to t=2s.

Power applied to a particle varies with time as P=(4t^(3)-5t+2) watt, where t is in second. Find the change its K.F. between time t = 2 and t = 4 sec.

Velocity of particle of mass 2kg varies with time t accoridng to the equation vecv=(2thati+4hatj)ms^(-1) . Here t is in seconds. Find the impulse imparted to the particle in the time interval from t=0 to t=2s.

DC PANDEY-PROJECTILE MOTION-Level - 1 Subjective
  1. A particle is projected from ground with velocity 20(sqrt2) m//s at 45...

    Text Solution

    |

  2. A particle is projected at an angle 60^@ with horizontal with a speed ...

    Text Solution

    |

  3. Two particles A and B are projected from ground towards each other wit...

    Text Solution

    |

  4. Two particles move in a uniform gravitational field with an accelerati...

    Text Solution

    |

  5. A ball is thrown from the ground to clear a wall 3 m high at a distanc...

    Text Solution

    |

  6. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  7. A particle is projected along an inclined plane as shown in figure. Wh...

    Text Solution

    |

  8. In the above problem, what is the component of its velocity perpendicu...

    Text Solution

    |

  9. Two particles A and B are projected simultaneously from two towers of ...

    Text Solution

    |

  10. A particle is projected from the bottom of an inclined plane of inclin...

    Text Solution

    |

  11. Two particles A and B are projected simultaneously in the directins sh...

    Text Solution

    |

  12. A ball is shot from the ground into the air. At a height of 9.1 m, its...

    Text Solution

    |

  13. A particle is projected with velocity 2 sqrt(gh) so that it just clear...

    Text Solution

    |

  14. A particle is projected at an angle of elevation alpha and after t sec...

    Text Solution

    |

  15. A projectile aimed at a mark, which is in the horizontal plane through...

    Text Solution

    |

  16. Two particles are simultaneously thrown in horizontal direction from t...

    Text Solution

    |

  17. A ballon is ascending at the rate v = 12 km//h and is being carried ho...

    Text Solution

    |

  18. A projectile is fired with a velocity u at right angles to the slope, ...

    Text Solution

    |

  19. An elecator is going up with an upward acceleration of 1m//s^2. At the...

    Text Solution

    |

  20. Two particles A and B are projected simultaneously in a vertical plane...

    Text Solution

    |