Inclined projectile questions with solutions

Showing 1–10 of 46 questions

• NumericmediumKinematics part-2 Projectile MotionInclined projectile

  Find time of flight of the projectile along the inclined plane as shown in figure. The projectile is projected horizontally toward the left with speed 20 m/s from an incline at 30°. (g = 10 m/s²)

  

  Your answer

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• NumericmediumKinematics part-2 Projectile MotionInclined projectile

  Find range of the projectile along the inclined plane as shown in figure. The projectile is projected horizontally toward the left with speed 20 m/s from an incline at 30°. (g = 10 m/s²)

  

  Your answer

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• 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 x-component of velocity after time t.

  

  Options

  • Option A

    u cosθ - gt sinβ

  • Option B

    u cosθ + gt sinβ

  • Option C

    u sinθ - gt cosβ

  • Option D

    u cosθ - gt cosβ

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• 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

  Check answerShow answer
  Open question & full solution →
• 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 x-component of acceleration.

  

  Options

  • Option A

    -g sinβ

  • Option B

    g sinβ

  • Option C

    -g cosβ

  • Option D

    g cosβ

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• 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

  Check answerShow answer
  Open question & full solution →
• ParagraphmediumKinematics part-2 Projectile MotionInclined projectile

  We know how by neglecting the air resistance, the problems of projectile motion can be easily solved and analysed. Now we consider the case of the collision of a ball with a wall. In this case the problem of collision can be simplified by considering the case of elastic collision only. When a ball collides with a wall we can divide its velocity into two components, one perpendicular to the wall and other parallel to the wall. If the collision is elastic then the perpendicular component of velocity of the ball gets reversed with the same magnitude.

  

  The other parallel component of velocity will remain constant if given wall is smooth. Now let us take a problem. Three balls ‘A’ and ‘B’ & ‘C’ are projected from ground with same speed at same angle with the horizontal. The balls A, B and C collide with the wall during their flight in air and all three collide perpendicularly with the wall as shown in figure.

  

  Sub-question 1

  Which of the following relation about the maximum height H of the three balls from the ground during their motion in air is correct:

  Options

  • Option A

    Hₐ = H꜀ > Hᵦ

  • Option B

    Hₐ > Hᵦ = H꜀

  • Option C

    Hₐ > H꜀ > Hᵦ

  • Option D

    Hₐ = Hᵦ = H꜀

  Sub-question 2

  If the time taken by the ball A to fall back on ground is 4 seconds and that by ball B is 2 seconds. Then the time taken by the ball C to reach the inclined plane after projection will be:

  Options

  • Option A

    6 sec.

  • Option B

    4 sec.

  • Option C

    3 sec.

  • Option D

    5 sec.

  Sub-question 3

  The maximum height attained by ball ‘A’ from the ground is:

  Options

  • Option A

    10 m

  • Option B

    15 m

  • Option C

    20 m

  • Option D

    Insufficient information

  Check answerShow answer

  JEE Advanced

  Open question & full solution →
• 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 velocity after time t.

  

  Options

  • Option A

    u sinθ - gt cosβ

  • Option B

    u sinθ + gt cosβ

  • Option C

    u cosθ - gt sinβ

  • Option D

    u sinθ - gt sinβ

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• 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

  Check answerShow answer
  Open question & full solution →
• 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

  Check answerShow answer

  JEE Mains

  Open question & full solution →