Motion under constant acceleration questions with solutions

Showing 1–10 of 34 questions

• MCQeasyKinematics Part-1 (one dimension)Motion under constant acceleration

  Two cars are travelling towards each other at speed of 20 m s⁻¹ each. When the cars are 300 m apart, both the drivers apply brakes and the cars retard at the rate of 2 m s⁻². The distance between them when they come to rest is :

  Options

  • Option A

    200 m

  • Option B

    50 m

  • Option C

    100 m

  • Option D

    25 m

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• Multi-correctdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle moves with constant acceleration. Its velocities at two positions separated by distance s are u and v. Which expressions for acceleration are valid?

  Select all that apply

  • Option A

    (v - u)/t, if t is the travel time between those positions.

  • Option B

    (v² - u²)/(2s).

  • Option C

    2(s - ut)/t², if t is known.

  • Option D

    (u + v)/(2s).

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle has initial velocity 25 m s⁻¹ and constant acceleration -5 m s⁻². The total distance travelled in the first 8 s is:

  Options

  • Option A

    72.5 m

  • Option B

    80 m

  • Option C

    85 m

  • Option D

    90 m

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle covers 8 m in the first second and 20 m in the third second. Its acceleration is constant. The distance covered in the fifth second is:

  Options

  • Option A

    28 m

  • Option B

    30 m

  • Option C

    32 m

  • Option D

    36 m

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• MCQmediumKinematics Part-1 (one dimension)Motion under constant acceleration

  A paratrooper jumps from an aeroplane and opens a parachute after 2 s of free fall and starts deaccelerating with 3 m/s². At 10 m height from ground, while descending with the help of parachute, the speed of paratrooper is 5 m/s. The initial height of the aeroplane is _____m.

  (g = 10 m/s²)

  Options

  • Option A

    62.5

  • Option B

    92.5

  • Option C

    20

  • Option D

    82.5

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle starts from rest and travels equal distances in two successive time intervals t₁ and t₂. If the first interval is from 0 to T and the second is from T to t, then t/T equals:

  Options

  • Option A

    √2

  • Option B

    2

  • Option C

    1 + √2

  • Option D

    2 + √2

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A vehicle accelerates uniformly from 10 m s⁻¹ to 30 m s⁻¹ over 200 m. The time taken is:

  Options

  • Option A

    8 s

  • Option B

    10 s

  • Option C

    12 s

  • Option D

    15 s

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• Multi-correctdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle starts from rest with constant acceleration a. Which relations are correct?

  Select all that apply

  • Option A

    Distance in nth second = (a/2)(2n - 1).

  • Option B

    Distance in first n seconds = (1/2)an².

  • Option C

    Distance in the nth second minus distance in the (n - 1)th second equals a.

  • Option D

    The ratio of distances in successive seconds is always constant.

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• MCQmediumKinematics Part-1 (one dimension)Motion under constant acceleration

  A bullet is fired into a fixed target looses one third of its velocity after travelling 4 cm. It penetrates further D × 10⁻³ m before coming to rest. The value of D is :

  Options

  • Option A

    2

  • Option B

    5

  • Option C

    3

  • Option D

    4

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• IntegerdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle covers 30 m during the 4th second and 54 m during the 8th second. Find its acceleration in m s⁻².

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