Question types

Motion in a Plane question types

378 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

378
Questions
5
Question groups
5
Question types
Sample Questions

Motion in a Plane questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If three particles $A , B$ and $C$ are having velocities $\overrightarrow{v}_A, \overrightarrow{v}_B$ and $\overrightarrow{v}_C$ which of the following formula gives the relative velocity of $A$ with respect to $B$
  • A
    $\overrightarrow{ v } A+\overrightarrow{ v } B$
  • B
    $\overrightarrow{ v }_A-\overrightarrow{ v }_C+\overrightarrow{ v }_B$
  • $\overrightarrow{ v }_A-\overrightarrow{ v }_B$
  • D
    $\overrightarrow{ v }_C-\overrightarrow{ v }_A$

Answer: C.

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For uniform acceleration in rectilinear motion which of the following is not correct?
  • A
    Velocity-time graph is linear
  • B
    Acceleration is the slope of velocity time graph
  • C
    The area under the velocity-time graph equals displacement
  • Velocity-time graph is nonlinear

Answer: D.

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The bob of a conical pendulum undergoes ___________
  • A
    Rectilinear motion in horizontal plane
  • Uniform motion in a horizontal circle
  • C
    Uniform motion in a vertical circle
  • D
    Rectilinear motion in vertical circle

Answer: B.

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For a particle having a uniform circular motion, which of the following is constant ____________.
  • Speed
  • B
    Acceleration
  • C
    Velocity
  • D
    Displacement

Answer: A.

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An object thrown from a moving bus is on example of __________
  • A
    Uniform circular motion
  • B
    Rectilinear motion
  • Projectile motion
  • D
    Motion in one dimension

Answer: C.

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A projectile is thrown at an angle of $30^\circ $ to the horizontal. What should be the range of initial velocity (u) so that its range will be between $40\ m$ and $50\ m$? Assume $g = 10 m s^{-2}$.
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A train is moving eastward at 10 m/sec. A waiter is walking eastward at 1.2m/sec; and a fly is flying toward the north across the waiter’s tray at 2 m/s. What is the velocity of the fly relative to Earth.
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A car moving along a straight road with a speed of 120 km/hr, is brought to rest by applying brakes. The car covers a distance of 100 m before it stops. Calculate
(i) the average retardation of the car
(ii) time taken by the car to come to rest.
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What is a conical pendulum? Show that its time period is given by $2 \pi \sqrt{\frac{l \cos \theta}{g}}$, where $I$ is the length of the string, $\theta$ is the angle that the string makes with the vertical and $g$ is the acceleration due to gravity.
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A velocity-time graph is shown in the adjoining figure.

Image
Determine:
  1. initial speed of the car
  2. maximum speed attained by the car
  3. part of the graph showing zero acceleration
  4. part of the graph showing constant retardation
  5. distance travelled by the car in first 6 sec.
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A particle is projected with speed v0 at angle θ to the horizontal on an inclined surface making an angle Φ (Φ < θ) to the horizontal. Find the range of the projectile along the inclined surface.
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