Relative motion in one dimension questions with solutions

Showing 1–10 of 29 questions

• NumericmediumKinematics part-3 Relative motionRelative motion in one dimension

  Two cars approach each other from 500 m apart, each at 20 m/s. A bird flies between them at 30 m/s. Whenever it reaches a car it rests there for 1 s before starting towards the other car. Count only completed inter-car flights. How many complete flights does it make before the cars meet?

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• MCQmediumKinematics part-3 Relative motionRelative motion in one dimension

  Stone A is dropped from rest from the top of a tower. Exactly 2 s later stone B is projected vertically downward from the same point at 30 m/s. Take g=10 m/s². How long after B is projected does B catch A?

  Options

  • Option A

    1 s

  • Option B

    2 s

  • Option C

    3 s

  • Option D

    4 s

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• MCQmediumKinematics part-3 Relative motionRelative motion in one dimension

  A swimmer and a freely floating raft are together at an instant in a river. The swimmer immediately swims upstream with speed u relative to water for time T, then turns instantly and swims downstream with the same relative speed. After turning, the time required to meet the raft again is:

  Options

  • Option A

    T

  • Option B

    2T

  • Option C

    [(u + v)/(u - v)]T

  • Option D

    [(u - v)/(u + v)]T

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• NumericmediumKinematics part-3 Relative motionRelative motion in one dimension

  A train of length 100 m enters a platform of length 200 m with speed 10 m/s and from that instant accelerates uniformly at 1 m/s². Find the time in seconds for the train to completely clear the platform.

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• Multi-correctmediumKinematics part-3 Relative motionRelative motion in one dimension

  A train of length L moves at speed v. Which crossing-time statements are correct?

  Select all that apply

  • Option A

    It crosses a stationary pole in L/v

  • Option B

    It crosses a platform of length d in (L+d)/v

  • Option C

    It completely crosses an equal-length train moving oppositely at speed v in L/v

  • Option D

    It completely crosses an equal-length train moving in the same direction at speed v/2 in 4L/v

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• MCQmediumKinematics part-3 Relative motionRelative motion in one dimension

  A boat moves upstream with speed u relative to water in a river. A package falls from the boat unnoticed. After time T the boatman notices it, instantly turns around, and moves downstream with the same speed u relative to water. The time after turning required to catch the package is:

  Options

  • Option A

    T

  • Option B

    [(u - v)/(u + v)]T

  • Option C

    [(u + v)/(u - v)]T

  • Option D

    2T

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• MCQmediumKinematics part-3 Relative motionRelative motion in one dimension

  A lift is moving upward at 10 m/s and accelerating upward at 2 m/s². A bolt detaches from the ceiling 3 m above the floor. Take g=10 m/s². Time taken by the bolt to hit the floor is:

  Options

  • Option A

    1/√2 s

  • Option B

    1/2 s

  • Option C

    1 s

  • Option D

    √2 s

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• MCQeasyKinematics part-3 Relative motionRelative motion in one dimension

  A boat takes time t₁ to travel a fixed distance downstream and time t₂ to return the same distance upstream. If u is the boat speed relative to water and v is the stream speed, then v/u is:

  Options

  • Option A

    (t₂ - t₁)/(t₁ + t₂)

  • Option B

    (t₁ + t₂)/(t₂ - t₁)

  • Option C

    t₂/t₁

  • Option D

    √[(t₂ - t₁)/(t₁ + t₂)]

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• MCQeasyKinematics part-3 Relative motionRelative motion in one dimension

  A motorboat has speed u relative to water in a river flowing with speed v. It travels downstream for time T and then upstream for the same time T. Its net displacement relative to the ground is:

  Options

  • Option A

    0

  • Option B

    2uT

  • Option C

    2vT

  • Option D

    (u - v)T

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• MCQeasyKinematics part-3 Relative motionRelative motion in one dimension

  A train moves uniformly at 20 m/s. Two events occur at fixed track points A and B separated by 600 m, with B ahead of A. The event at A occurs 10 s before the event at B. A passenger is exactly at A at the first event. At the second event the passenger is:

  Options

  • Option A

    200 m ahead of A

  • Option B

    400 m behind B

  • Option C

    200 m behind B

  • Option D

    At B

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