Instantaneous speed and instantaneous velocity questions with solutions

Showing 1–10 of 45 questions

• MCQeasyKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  The distance travelled by a particle is related to time t as x = 4t². The velocity of the particle at t = 5s is :

  Options

  • Option A

    40 m s⁻¹

  • Option B

    25 m s⁻¹

  • Option C

    20 m s⁻¹

  • Option D

    8 m s⁻¹

  Check answerShow answer

  JEE Mains25 January 2023Shift 2Evening Shift

  Open question & full solution →
• MatchmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  Match List I with List II and choose the correct option.

  List 1

  1. x=t²-4t

  2. x=t³-3t

  3. x=t³

  4. x=|t|

  List 2

  1. Stationary at origin but no reversal there

  2. Instantaneous velocity undefined at origin

  3. One direction reversal at t=2

  4. Direction reversals at t=-1 and t=+1

  Options

  • Option A

    P-3, Q-4, R-1, S-2

  • Option B

    P-1, Q-2, R-4, S-3

  • Option C

    P-4, Q-1, R-2, S-3

  • Option D

    P-2, Q-3, R-1, S-4

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves along a straight line OX. At a time t (in seconds), the distance x (in metres) of the particle from O is given by x = 40 + 12t - t³. How long would the particle travel before coming to rest?

  Options

  • Option A

    16 m

  • Option B

    24 m

  • Option C

    40 m

  • Option D

    56 m

  Check answerShow answer

  AIPMT 2006NEET

  Open question & full solution →
• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle has x = at³ - bt, a, b>0. From t=0 to t=√(b/a), its average speed is:

  Options

  • Option A

    2b/(3√3)

  • Option B

    4b/(3√3)

  • Option C

    2b/√3

  • Option D

    4b/3

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  The displacement x of a particle varies with time as x = ae⁻ᵅᵗ + beᵝᵗ, where a, b, α and β are positive constants. The velocity of the particle will:

  Options

  • Option A

    Go on decreasing with time

  • Option B

    Be independent of α and β

  • Option C

    Drop to zero when α=β

  • Option D

    Go on increasing with time

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  Position of a particle is x = t + 1/t metre, t>0. Its average speed between t=1/2 s and t=2 s is:

  Options

  • Option A

    1/3 m s⁻¹

  • Option B

    2/3 m s⁻¹

  • Option C

    1 m s⁻¹

  • Option D

    4/3 m s⁻¹

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MatchmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  Match List I with List II and choose the correct option.

  List 1

  1. x=t⁴-8t², 0≤t≤4

  2. x=t+1/t, 1/2≤t≤2

  3. x=t³-6t²+9t, 0≤t≤4

  4. x=t³-3t, 0≤t≤√3

  List 2

  1. Total distance = 1 m

  2. Total distance = 4 m

  3. Total distance = 12 m

  4. Total distance = 160 m

  Options

  • Option A

    P-4, Q-1, R-3, S-2

  • Option B

    P-3, Q-4, R-2, S-1

  • Option C

    P-2, Q-3, R-1, S-4

  • Option D

    P-1, Q-2, R-4, S-3

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• Multi-correctmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A differentiable function x(t) satisfies x(t₁)=x(t₂), t₂>t₁, and the particle actually moves during the interval. Which statements are correct?

  Select all that apply

  • Option A

    Average velocity is zero.

  • Option B

    Total distance is positive.

  • Option C

    Average speed is positive.

  • Option D

    Instantaneous velocity is zero at least once between t₁ and t₂.

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQdifficultKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves along the x-axis and its position at time t is given by x(t) = $t^3$ - 6$t^2$ + 9t, where x is in metres and t is in seconds. The motion starts at t = 0. The first instant after t = 0 at which the particle reverses its direction of motion is:

  Options

  • Option A

    1 s

  • Option B

    2 s

  • Option C

    3 s

  • Option D

    4 s

  Check answerShow answer
  Open question & full solution →
• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  The velocity of a particle is v=v₀+gt+Ft². Its position is x=0 at t=0. Its displacement after t=1 s is:

  Options

  • Option A

    v₀+g+F

  • Option B

    v₀+g/2+F/3

  • Option C

    v₀+2g+3F

  • Option D

    v₀+g/2+F

  Check answerShow answer

  JEE Mains

  Open question & full solution →