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2 June, 19:00

A powerboat, starting from rest maintains a constant acceleration. After a certain time Δt, its displacement and velocity are Δr and Δv. At time 2Δt, what will be its displacement and velocity, assuming the acceleration remains constant?

(A) 2Δr and 2Δv

(B) 2Δr and 4Δv

(C) 4Δr and 2Δv

(D) 4Δr and 4Δv

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Answers (1)
  1. 2 June, 19:08
    0
    The correct option is C) 4Δr and 2Δv

    Explanation:

    Initially from rest means, initial velocity and displacement is zero.

    AT time t = Δt,

    Displacement (s) = Δr

    velocity (v) = Δv

    Now At t = 2Δt

    By using the equation of motion

    v = u + at

    s = ut + (1/2) at²

    Here,

    v ∝ t and s ∝ t²

    Increasing times by two time velocity will increase twice and displacement by four times

    Displacement = 4Δr

    Velocity = 2Δv
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