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17 August, 13:39

6. A physics book slides off a horizontal table top with a speed of 1.25m/s. It strikes a floor in 0.4s.

What's the speed with which the book strikes the floor?

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  1. 17 August, 14:02
    0
    4.11 m/s

    Explanation:

    Given:

    v₀ₓ = 1.25 m/s

    aₓ = 0 m/s²

    v₀ᵧ = 0 m/s

    aᵧ = - 9.8 m/s²

    t = 0.4 s

    Find: v

    First, in the x direction:

    vₓ = aₓt + v₀ₓ

    vₓ = (0 m/s²) (0.4 s) + 1.25 m/s

    vₓ = 1.25 m/s

    And in the y direction:

    vᵧ = aᵧt + v₀ᵧ

    vᵧ = (-9.8 m/s²) (0.4 s) + 0 m/s

    vᵧ = - 3.92 m/s

    The net speed is found with Pythagorean theorem:

    v² = vₓ² + vᵧ²

    v² = (1.25 m/s) ² + (-3.92 m/s) ²

    v = 4.11 m/s
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