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Kinematics part-3 Relative motion questions with solutions

Practice Kinematics part-3 Relative motion for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

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  • MCQmediumKinematics part-3 Relative motion

    Particle A moves with velocity 4î m s⁻¹ and particle B moves with velocity -3ĵ m s⁻¹. Which option correctly gives vₐᵦ and vᵦₐ?

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  • MCQmediumKinematics part-3 Relative motion

    The downstream drifts of a swimmer crossing a river at equal angular deviations towards downstream and upstream are in the ratio 2:1. The ratio of swimmer speed to current speed cannot be less than:

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  • MCQmediumKinematics part-3 Relative motion

    A river of width d flows with speed v. Two swimmers A and B each have speed u relative to water, where u > v. A swims perpendicular to the bank, while B aims upstream so as to reach the point directly opposite. If x is A's drift and tA,t_A, tBt_B are their crossing times, then:

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  • MCQeasyKinematics part-3 Relative motion

    A boat is sent across a river with velocity 8 km h⁻¹ relative to water. If its resultant velocity relative to ground is 10 km h⁻¹, the river speed is:

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  • MCQmediumKinematics part-3 Relative motion

    A man crosses a river flowing at 5 m s⁻¹ and reaches a point directly opposite, 60 m away, in 5 s. His speed in still water is:

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  • MCQmediumKinematics part-3 Relative motion

    Rain falls vertically downward at 30 m/s. A car starts from rest and accelerates horizontally at 5 m/s². At what time will the rain strike its vertical windshield at 45° to the horizontal normal?

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  • MCQeasyKinematics part-3 Relative motion

    A 210 m long train moves due north at 25 m s⁻¹. A small bird flies due south just above the train at 5 m s⁻¹. The time taken by the bird to cross the train is:

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  • MCQdifficultKinematics part-3 Relative motion

    The speed of a river varies across its width d according to v(y) = v₀y/d, where y is measured from one bank. A swimmer moves perpendicular to the banks with constant speed u relative to water. The downstream drift during crossing is:

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  • MCQmediumKinematics part-3 Relative motion

    A fixed inclined plane makes 30° with the horizontal. A man starts from rest and accelerates down the plane with constant acceleration 4 m/s². Rain falls vertically downward at 20 m/s. At what time will the velocity of rain relative to the man be perpendicular to the inclined plane?

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  • MCQmediumKinematics part-3 Relative motion

    Three particles A, B and C are at the vertices of an equilateral triangle of side a. They start simultaneously with the same constant speed v, each always moving toward the next particle in cyclic order. Time after which they meet is:

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