Kinematics part-3 Relative motion questions with solutions

Showing 1–10 of 222 questions

• MCQmediumKinematics part-3 Relative motionRain problem and relative approach problem

  A rotatable pipe is mounted on a cart moving horizontally at 2 m s⁻¹. Rain falls vertically at 6 m s⁻¹. At what angle α to the horizontal should the pipe be placed so that rain moves parallel to the pipe?

  Options

  • Option A

    tan⁻¹3

  • Option B

    tan⁻¹(1/3)

  • Option C

    30°

  • Option D

    60°

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• MCQeasyKinematics part-3 Relative motionRelative motion in one dimension

  Two cars get closer by 9 m every second while travelling in opposite directions. They get closer by 1 m every second while travelling in the same direction. What are their speeds?

  Options

  • Option A

    5 m s⁻¹ and 4 m s⁻¹

  • Option B

    4 m s⁻¹ and 3 m s⁻¹

  • Option C

    6 m s⁻¹ and 3 m s⁻¹

  • Option D

    6 m s⁻¹ and 5 m s⁻¹

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• NumericmediumKinematics part-3 Relative motionRelative motion in 2-D and shortest distance problem

  A is projected from origin with velocity (10î+20ĵ) m/s. Simultaneously B is projected from (30,40) m with velocity (4î+12ĵ) m/s. Both experience the same gravity. If their relative trajectories predict collision after N seconds, find N.

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• MCQmediumKinematics part-3 Relative motionRiver problem

  A river flows east at 5 m min⁻¹. A swimmer from the south bank can swim at 10 m min⁻¹ in still water and wants minimum crossing time. His resultant ground velocity will be directed:

  Options

  • Option A

    tan⁻¹(2) east of north

  • Option B

    tan⁻¹(2) north of east

  • Option C

    30° east of north

  • Option D

    60° east of north

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• MCQeasyKinematics part-3 Relative motionRiver problem

  A river flows west to east at 5 m min⁻¹. A swimmer on the south bank can swim at 10 m min⁻¹ in still water and wants to cross in the shortest time. He should swim:

  Options

  • Option A

    Due north

  • Option B

    30° east of north

  • Option C

    30° north of west

  • Option D

    60° east of north

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• MCQmediumKinematics part-3 Relative motionRelative motion in 2-D and shortest distance problem

  Ship A sails north-east with velocity (30î+50ĵ) km h⁻¹, where î is east and ĵ is north. Ship B is initially 80 km east and 150 km north of A and sails west at 10 km h⁻¹. After how much time will A be at minimum distance from B?

  Options

  • Option A

    4.2 h

  • Option B

    2.2 h

  • Option C

    3.2 h

  • Option D

    2.6 h

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• MCQmediumKinematics part-3 Relative motionRelative motion in 2-D and shortest distance problem

  A jet travels from east to west at 500 km h⁻¹ and ejects gases at 1500 km h⁻¹ relative to the plane, backward relative to the jet. What is the gas velocity relative to ground?

  Options

  • Option A

    1000 km h⁻¹ west to east

  • Option B

    1000 km h⁻¹ east to west

  • Option C

    2000 km h⁻¹ west to east

  • Option D

    2000 km h⁻¹ east to west

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• MCQeasyKinematics part-3 Relative motionRain problem and relative approach problem

  Wind blows north at 2 m s⁻¹ and causes rain to fall obliquely. With what velocity should a cyclist move so that the rain appears vertical?

  Options

  • Option A

    2 m s⁻¹ south

  • Option B

    2 m s⁻¹ north

  • Option C

    2 m s⁻¹ west

  • Option D

    4 m s⁻¹ south

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• Multi-correctmediumKinematics part-3 Relative motionRelative motion in 2-D and shortest distance problem

  Two particles are projected from the same point with the same speed in the same vertical plane at different angles with the horizontal. A frame of reference is fixed to one particle. The position vector of the other particle as observed from the frame is $\vec{r}$. Which of the following statements is/are incorrect?

  Select all that apply

  • Option A

    $\vec{r}$ is a constant vector

  • Option B

    $\vec{r}$ changes in magnitude and direction with time

  • Option C

    the magnitude of $\vec{r}$ increases linearly with time, its direction does not change

  • Option D

    the direction of $\vec{r}$ changes with time, its magnitude may or may not change depending on the angles of projection.

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• MCQmediumKinematics part-3 Relative motionRelative motion in one dimension

  A thief in a stolen car passes a police post at 90 km h⁻¹. A motorcycle cop reacts after 2 s, starts from rest with acceleration 5 m s⁻² and has maximum speed 108 km h⁻¹. Find the maximum separation between policeman and thief.

  Options

  • Option A

    112.5 m

  • Option B

    115 m

  • Option C

    116.5 m

  • Option D

    None of these

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