Home
Class 11
PHYSICS
If the time taken by the projectile to r...

If the time taken by the projectile to reach from `A` to `B` is `t`. Then the distance `AB` is equal to
.

A

`(ut)/(sqrt3)`

B

`(sqrt(3) ut)/2`

C

`sqrt3 ut`

D

`2ut`

Text Solution

Verified by Experts

The correct Answer is:
A
Horizontal component of velocity,
`u_(H)=ucos 60^(@)=u/2`
`AC=u_(H)xxt=(ut)/2`
And `AB=AC sec 30^(@)`
n `=((ut)/2)(2/(sqrt(3)))=(ut)/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Relative Velocity In Two Dimensions|23 Videos

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Kinematics Of Circular Motion|26 Videos

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Projectile From A Height And Movingframe|19 Videos

  • MOCK TEST

    A2Z|Exercise Motion With Constant Acceleration|15 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

In the time taken by the projectile to reach from A to B is t . Then the distance AB is equal to. .

Time taken by the particle to reach from A to B is t . Then the distance AB is equal to

If time taken by the projectile to reach Q is T , than PQ =

A projectile is fired horizontally with velocity of 98 m/s from the top of a hill 490 m high. Find (a) the time taken by the projectile to reach the ground, (b) the distance of the point where the particle hits the ground from foot of the hill and (c) the velocity with which the projectile hits the ground. (g= 9.8 m//s^2) .

From the top of a hill 480 m high , a projectile is fired horizontally with a speed of 96 m//s . Calculate (i) the time taken by projectile to reach the ground . (ii) the distance of the target from the hill . (iii) the velocity with which the projectile hits the ground . Take g=10ms^(-2)

(a) A particle moving with constant acceleration from A to B in a straight line AB has velocities u and v at A and B respectively. Find the velocity of the particle at the midpoint of AB . (b) If the time taken by the particle to go from A to the midpoint of AB is two times that from the midpoint of AB to B then find the value of v//u .

For ground to ground projectile, time take by a particle to ge point O to point C is T_(1) and during the same motion time taken by the particle to ge from A to B is T_(2) then height 'h' is :

The time taken by a particle in reaching from trough to crest in a transverse wave is -

A stone is projected from point A with speed u making an angle 60^@ with horizontal as shown. The fixed inclined suface makes an angle 30^@ with horizontal. The stone lands at B after time t. Then the distance AB is equal to

The given figure shows the elliptical orbit of a planet m about the sun S. If t_(1) is the time taken by the planet of move from C to D and t_(2) is the time taken by the planet to move from A to B, then the relation between t_(1) and t_(2) is [Given, area SCD = 2 (area SAB)]

A2Z-MOTION IN TWO DIMENSION-Projection From Inclined Plane
  1. A particle is projected up with a velocity of v(0)=10m//s at an angle...

    Text Solution

    |

  2. the time after which the particle attains maximum height is :

    Text Solution

    |

  3. The ratio of the range of the particle and its maximum range in the in...

    Text Solution

    |

  4. If the particle is projected down onto the inclined plane at same spee...

    Text Solution

    |

  5. The ratio of the range for upward and down ward projections is:

    Text Solution

    |

  6. The ratio of component of velocity striking perpendicular to the plane...

    Text Solution

    |

  7. The ratio of speeds of striking for upward and downward projection is:

    Text Solution

    |

  8. A particle is prjected up an inclined with initial speed v=20m//s at a...

    Text Solution

    |

  9. A particle is projected from the inclined plane at angle 37^(@) with t...

    Text Solution

    |

  10. The maximum range of a projectile is 500m. If the particle is thrown u...

    Text Solution

    |

  11. On an inclined plane of inclination 30^(@), a ball is thrown at angle ...

    Text Solution

    |

  12. A particle is projected with a certain velocity at an angle prop above...

    Text Solution

    |

  13. If the time taken by the projectile to reach from A to B is t. Then th...

    Text Solution

    |

  14. A particle is projected with velocity 30^(@) above on an inclined plan...

    Text Solution

    |

  15. A ball is thrown at angle alpha( 90^(@)gtalphagttheta) on inclination ...

    Text Solution

    |

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

    Text Solution

    |

  17. A particle is projected at point A from an inclination plane with incl...

    Text Solution

    |

  18. A ball thrown down the incline strikes at a point on the incline 25m b...

    Text Solution

    |

  19. A ball is projected horizontally with a speed v from the top of the pl...

    Text Solution

    |

  20. A body is projected up a smooth inclined plane with velocity V from th...

    Text Solution

    |