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a particle is projected down on inclined plane with a velocity of 21m/s at an angle of `60^@` with the horizontal its range on the inclined plane inclined at an angle of `30^@` with the horizontal is

A

21dm

B

2.1dm

C

30dm

D

6dm

Text Solution

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The correct Answer is:
D
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A particle is projected with a velocity of 30 m//s at an angle 60^(@) above the horizontal on a slope of inclination 30^(@) . Find its range, time of flight and angle of hit.

A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizonta.. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.

Knowledge Check

  • A particle is thrown at time t=0 with a velocity of 10 m/s at an angle of 60^(@) with the horizontal from a point on an incline plane, making an angle of 30^(@) with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is :

    A
    `2/sqrt(3)` sec
    B
    `1/sqrt(3)` sec
    C
    `sqrt(3)` sec
    D
    `1/(2sqrt(3))` sec
  • A particle is thrown at time t = 0 with a velocity of 10 ms^(-1) at an angle 60^@ with the horizontal from a point on an inclined plane, making an angle of 30^@ with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is

    A
    `2/(sqrt3) s`
    B
    `1/(sqrt3) s`
    C
    `sqrt3 s`
    D
    `1/(2(sqrt3)) s`
  • A particle is projected up with a velocity of v_(0)=10m//s at an angle of theta_(0)=60^(@) with horizontal onto an inclined plane. The angle of inclination of the plane is 30^(@) . The time of flight of the particle till it strikes the plane is (take g=10ms^(-2) )

    A
    `1s`
    B
    `1//2s`
    C
    `2/(sqrt(3))s`
    D
    `1/(2sqrt(3))s`
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