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25 December, 23:15

An Air Force plane lands with a velocity of 125 m/s and accelerates at a maximum rate of - 6.5 m/s^2.

a. From the instant the plane touches the runway, what is the minimum time needed for it to come to a complete stop?

b. Could this plane land on a naval aircraft carrier where the runway is 850 meters long?

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  1. 26 December, 02:01
    0
    a) 19.2 s

    b) No

    Explanation:

    Given:

    v₀ = 125 m/s

    a = - 6.5 m/s²

    v = 0 m/s

    a) Find: t

    v = at + v₀

    (0 m/s) = (-6.5 m/s²) t + (125 m/s)

    t ≈ 19.2 s

    b) Find: Δx

    v² = v₀² + 2aΔx

    (0 m/s) ² = (125 m/s) ² + 2 (-6.5 m/s²) Δx

    Δx ≈ 1200 m

    An aircraft carrier that's 850 meters long won't be long enough.
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