Home
Class 11
PHYSICS
A particle is projected form a horizonta...

A particle is projected form a horizontal plane `(x-z` plane) such that its velocity vector at time `t` is gives by `vecV = ahati +(b - ct)hatj`. Its range on the horizontal plane is given by

A

`2ab//c`

B

`ab//c`

C

`ac//b`

D

`a//2bc`

Text Solution

Verified by Experts

The correct Answer is:
A

`u_(x) = a, u_(y) = b, g = c` ltbr. `:'` Horizontal range, `R = (2u_(x)u_(y))/(g) = (2ab)/(c)`
Promotional Banner

Topper's Solved these Questions

  • MOTION

    DC PANDEY|Exercise B. Medical entrance|1 Videos
  • MOTION

    DC PANDEY|Exercise Medical entrance|12 Videos
  • MOTION

    DC PANDEY|Exercise A. Taking it together|1 Videos
  • MEASUREMENT AND ERRORS

    DC PANDEY|Exercise Subjective|19 Videos
  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

The velocity at the maximum height of a projectile is half of its velocity of projection u . Its range on the horizontal plane is

A particle is projected from the horizontal x-z plane, in vertical x-y plane where x-axis is horizontal and positive y-axis vertically upwards. The graph of y coordinate of the particle v/s time is as shown . The range of the particle is sqrt3 . Then the speed of the projected particle is:

A particle is projected from a horizontal plane with a velocity of 8sqrt2 ms ^(-1) ms at an angle theta . At highest point its velocity is found to be 8 ms^(-1) Its range will be (g=10 ms^(-2))

A particle is projected from origin in xy-plane and its equation ,of trajectory is given by y = ax - bx^(2) . The only acceleration ,in the motion is' f' which is constant and in -ve direction of, y-axis. (a) Find the velocity of projection and the angle of projection. (b) Point of projection is considered as origin and x-axis along the horizontal ground. Find the horizontal range: and maximum height of projectile. Projectile completes its flight in horizonal plane of projection.

A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)

A particle is projected up an inclines plane. Plane is inclined at an angle theta with horizontal and particle is projected at an angle alpha with horizontal. If particle strikes the plane horizontally prove that tan alpha=2 tan theta

A particle is to be projected horizontally with velocity v from a point P , which is 60 m above the foot of a plane inclined at angle 45^(@) with horizontal as shown in figure. The particle hits the plane perpendicularly at A . After rebound from inlined plane it again hits at B . If coefficient of restitution between particles and plane is (1)/(sqrt(2)) then,

A particle projected from origin moves in x-y plane with a velocity vecv=3hati+6xhatj , where hati" and "hatj are the unit vectors along x and y axis. Find the equation of path followed by the particle :-

DC PANDEY-MOTION-Taking it together
  1. A particle is projected from horizontal making an angle of 53^(@) with...

    Text Solution

    |

  2. A ground to ground projectile is at point A at t = (T)/(3), is at poin...

    Text Solution

    |

  3. A particle is projected form a horizontal plane (x-z plane) such that ...

    Text Solution

    |

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

    Text Solution

    |

  5. The horizontal range and miximum height attained by a projectile are R...

    Text Solution

    |

  6. A large number of bullets are fired in all directions with the same sp...

    Text Solution

    |

  7. A cart is moving horizontally along a straight line with constant spee...

    Text Solution

    |

  8. A particle is projected with velocity u at angle theta with horizontal...

    Text Solution

    |

  9. Two particles are simultaneously projected in opposite directions hori...

    Text Solution

    |

  10. A hill is 500 m high. Supplies are to be across the hill using a cano...

    Text Solution

    |

  11. A ball is rolled off the edge of a horizontal table at a speed of 4 m/...

    Text Solution

    |

  12. A jet aeroplane is flying at a constant height of 2 km with a speed 36...

    Text Solution

    |

  13. Two second after projection, a projectile is travelling in a direction...

    Text Solution

    |

  14. A projectile is fired at an angle of 30^(@) to the horizontal such tha...

    Text Solution

    |

  15. A very broad elevator is going up vertically with a constant accelerat...

    Text Solution

    |

  16. The velocity of a projectile when it is at the greatest height is (sqr...

    Text Solution

    |

  17. A body of mass 1kg is projected with velocity 50 ms^(-1) at an angle o...

    Text Solution

    |

  18. A grass hopper can jump maximum distance 1.6m. It spends negligible ti...

    Text Solution

    |

  19. A ball rolls off the top of a staircase with a horizontal velocity u m...

    Text Solution

    |

  20. A projectile is thrown at an angle theta that it is just able to cross...

    Text Solution

    |