Motion in 2-D and ground to ground projectile questions with solutions

Showing 1–10 of 221 questions

• MCQmediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A particle is projected with speed u from O along y-axis. If acceleration of the particle is (aî + aĵ), then equation of trajectory of the particle is:

  

  Options

  • Option A

    y = ax²/(2u²)

  • Option B

    (y - x)² = 2xu²/a

  • Option C

    (x - y)² = 2yu²/a

  • Option D

    x² + y² = 2xu²/a

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• MCQmediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with the same speed at an angle θ to the horizontal, the maximum height attained is 4R. The angle of projection θ is then given by:

  Options

  • Option A

    sin⁻¹√(2gT²/(π²R))

  • Option B

    sin⁻¹√(π²R/(2gT²))

  • Option C

    cos⁻¹√(2gT²/(π²R))

  • Option D

    cos⁻¹√(πR/(2gT²))

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• MCQeasyKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A bullet is fired horizontally from a rifle at a distant target. Ignoring the effect of air resistance, which of the following is correct? Horizontal Acceleration and Vertical Acceleration are given by:

  Options

  • Option A

    10 ms⁻², 10 ms⁻²

  • Option B

    10 ms⁻², 0 ms⁻²

  • Option C

    0 ms⁻², 10 ms⁻²

  • Option D

    0 ms⁻², 0 ms⁻²

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• MCQmediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  The x and y coordinates of a particle at any time are x = 5t - 2t² and y = 10t, where x and y are in metres and t in seconds. The acceleration of the particle at t=2 s is:

  Options

  • Option A

    0

  • Option B

    5 m s⁻²

  • Option C

    -4 m s⁻²

  • Option D

    -2 m s⁻²

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• MCQmediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  Trajectory of particle in a projectile motion is given as y = x - x²/80. Here, x and y are in metres and considered along horizontal and vertical direction respectively (g = 10 m/s²). For this projectile motion.

  Options

  • Option A

    angle of projection is 45°

  • Option B

    angle of velocity with horizontal after 4 s is tan⁻¹(1/2)

  • Option C

    maximum height is 80 m

  • Option D

    horizontal range is 20 m

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• MCQeasyKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  The maximum range of a gun on a horizontal plane is 16 km if g = 10 m/sec² the muzzle velocity of the shell must be-

  Options

  • Option A

    400 m/sec

  • Option B

    160√10 m/sec

  • Option C

    1600 m/sec

  • Option D

    200√2 m/sec

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• MCQdifficultKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  The centroid of the plane area bounded by a ground-to-ground projectile trajectory and the horizontal range is located at:

  Options

  • Option A

    (R/2, H/2)

  • Option B

    (R/2, 2H/5)

  • Option C

    (R/3, 2H/3)

  • Option D

    (R/2, H/3)

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• Multi-correctdifficultKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A projectile has range equal to $\frac{3}{4}$ of the maximum range possible with the same speed. If t=tanθ, which values of t are possible?

  Select all that apply

  • Option A

    (4+√7)/3

  • Option B

    (4-√7)/3

  • Option C

    √3

  • Option D

    1

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• MCQeasyKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A ball is projected with velocity 10 m s⁻¹ at an angle 60° with the vertical direction. Its speed at the highest point of its trajectory will be:

  Options

  • Option A

    5√3 m s⁻¹

  • Option B

    5 m s⁻¹

  • Option C

    10 m s⁻¹

  • Option D

    zero

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• MCQmediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A projectile passes through a point 20 m above the point of projection at times t = 1 s and t = 3 s. Neglect air resistance and take g = 10 m/s². Its initial vertical component of velocity is:

  Options

  • Option A

    10 m/s

  • Option B

    15 m/s

  • Option C

    20 m/s

  • Option D

    25 m/s

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