Inclined projectile questions with solutions

Showing 1–10 of 46 questions

• Multi-correctmediumKinematics part-2 Projectile MotionInclined projectile

  A ball is horizontally projected with a speed v from the top of a plane inclined at an angle 45° with the horizontal. How far from the point of projection will the ball strike the plane?

  Select all that apply

  • Option A

    v²/g

  • Option B

    √2v²/g

  • Option C

    2v²/g

  • Option D

    2√2v²/g

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• MCQmediumKinematics part-2 Projectile MotionInclined projectile

  A particle is projected at an angle θ with an inclined plane making an angle β with the horizontal, with speed u. Resolve x along the incline and y perpendicular to the incline. Find the y-component of displacement after time t.

  

  Options

  • Option A

    ut sinθ - ½gt² cosβ

  • Option B

    ut sinθ + ½gt² cosβ

  • Option C

    ut cosθ - ½gt² sinβ

  • Option D

    ut sinθ - ½gt² sinβ

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• MCQmediumKinematics part-2 Projectile MotionInclined projectile

  A projectile is projected with speed 20 m/s from a point on an inclined plane making an angle 30° above the horizontal. It is projected at the angle that gives maximum range along the inclined plane. Neglect air resistance and take g = 10 m/s². The time of flight before it strikes the inclined plane again is:

  Options

  • Option A

    2/√3 s

  • Option B

    4/√3 s

  • Option C

    2√3 s

  • Option D

    4 s

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• IntegermediumKinematics part-2 Projectile MotionInclined projectile

  A particle is projected up an inclined plane of inclination β at an elevation α to the horizontal. Find the ratio between tan α and tan β, if the particle strikes the plane horizontally.

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• MCQdifficultKinematics part-2 Projectile MotionInclined projectile

  An inclined plane makes an angle 45° above the horizontal. A projectile is projected from a point on the plane and strikes the plane again perpendicularly. If θ is the angle of projection with the horizontal, which relation is correct?

  Options

  • Option A

    tan(θ - 45°) = 1/2

  • Option B

    tan(θ - 45°) = 1

  • Option C

    tan(θ - 45°) = 2

  • Option D

    tan(θ - 45°) = 1/4

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• MCQdifficultKinematics part-2 Projectile MotionInclined projectile

  A particle is projected from a point on an inclined plane which makes an angle α above the horizontal. It strikes the inclined plane again with its velocity horizontal. If θ is the angle of projection with the horizontal, then:

  Options

  • Option A

    tanθ = tanα

  • Option B

    tanθ = 2 tanα

  • Option C

    tanθ = 4 tanα

  • Option D

    tanθ = (1/2)tanα

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• NumericmediumKinematics part-2 Projectile MotionInclined projectile

  Find range of the projectile along the inclined plane as shown in figure. The projectile speed is 20√2 m/s at 45° above the horizontal toward the left and the incline is at 30°. (g = 10 m/s²)

  

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• MCQmediumKinematics part-2 Projectile MotionInclined projectile

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

  

  Options

  • Option A

    Tv sinθ

  • Option B

    Tv cosθ

  • Option C

    Tv secθ

  • Option D

    Tv tanθ

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• MCQeasyKinematics part-2 Projectile MotionInclined projectile

  An inclined plane makes an angle 30° with the horizontal and slopes downward in the direction of projection. A particle is projected horizontally from a point on the plane with speed 10√3 m/s. Neglect air resistance and take g = 10 m/s². The time after which the particle strikes the inclined plane again is:

  Options

  • Option A

    1 s

  • Option B

    2 s

  • Option C

    2√3 s

  • Option D

    3 s

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• MCQmediumKinematics part-2 Projectile MotionInclined projectile

  A projectile is fired horizontally from an inclined plane (of inclination 45° with horizontal) with speed = 50 m/s. If g = 10 m/s², the range measured along the incline is

  Options

  • Option A

    500 m

  • Option B

    500√2 m

  • Option C

    200√2 m

  • Option D

    None of these

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