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

Showing 1–10 of 221 questions

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

  Choose the correct alternative(s)

  Select all that apply

  • Option A

    If the greatest height to which a man can throw a stone is h, then the greatest horizontal distance upto which he can throw the stone is 2h.

  • Option B

    The angle of projection for a projectile motion whose range R is n times the maximum height is tan⁻¹(4/n)

  • Option C

    The time of flight T and the horizontal range R of a projectile are connected by the equation gT² = 2R tanθ where θ is the angle of projection.

  • Option D

    A ball is thrown vertically up. Another ball is thrown at an angle θ with the vertical. Both of them remain in air for the same period of time. Then the ratio of heights attained by the two ball 1 : 1.

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

  The velocity of a projectile at the initial point A is (2i + 3j) m s⁻¹. When it reaches point B at the same vertical level as A, its velocity is:

  Options

  • Option A

    -2$\hat{i}-3\hat{j}$

  • Option B

    -2$\hat{i}+3\hat{j}$

  • Option C

    2$\hat{i}-3\hat{j}$

  • Option D

    2$\hat{i}+3\hat{j}$

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

  If the range of a gun which fires a shell with muzzle speed V is R, then the angle of elevation of the gun is

  Options

  • Option A

    cos⁻¹√(V²/Rg)

  • Option B

    cos⁻¹√(gR/V²)

  • Option C

    ½(V²/Rg)

  • Option D

    ½ sin⁻¹(gR/V²)

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

  The two-dimensional motion of a particle is described by $\vec{r}$= A cos(ωt)($\hat{i}+2\hat{j}$). Consider: (I) parabolic path, (II) elliptical path, (III) periodic motion, (IV) simple harmonic motion. Choose the correct combination.

  Options

  • Option A

    (II), (III) and (IV) only

  • Option B

    (I), (II) and (III) only

  • Option C

    (I), (II), (III) and (IV) only

  • Option D

    (III) and (IV) only

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

  At a point P on a ground-to-ground projectile, the line joining P to the point of projection makes angle α with the horizontal and the line joining P to the point of landing makes acute angle β with the horizontal. If t is the time taken to reach P and T is the complete time of flight, then:

  Options

  • Option A

    t/T=tanα/(tanα+tanβ)

  • Option B

    t/T=tanβ/(tanα+tanβ)

  • Option C

    t/T=tanα/tanβ

  • Option D

    t/T=tanβ/tanα

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

  The figure shows the velocity and the acceleration of a point-like body at the initial moment of its motion. The direction and the absolute value of the acceleration remain constant. Find the time in seconds when the velocity reach its minimum value? (Data: a = 6 m/s², v₀ = 24 m/s, ϕ = 143°)

  

  Select all that apply

  • Option A

    1.6 sec

  • Option B

    3.2 sec

  • Option C

    4.8 sec

  • Option D

    6.4 sec

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

  The equation of a projectile is y = √3x - gx²/2. At t = 0, x = 0, y = 0 and dx/dt ≠ 0. Find the angle of projection (degrees).

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

  A person can throw a ball vertically upward to a maximum height H. Neglecting air resistance, the maximum horizontal range through which the same person can throw the ball is:

  Options

  • Option A

    H

  • Option B

    √2H

  • Option C

    2H

  • Option D

    4H

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

  A projectile is projected at 30° with speed 40 m s⁻¹. Its velocity magnitude at t = 2 s is: (g = 10 m s⁻²)

  Options

  • Option A

    Zero

  • Option B

    20√3 m s⁻¹

  • Option C

    40√3 m s⁻¹

  • Option D

    20 m s⁻¹

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