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29 February, 17:21

in a race, Usain Bolt accelerates at 1.99m/s^2 for the first 60.0m, then decelerates at - 0.266m/s^2 for the final 40.0m. what was his final velocity? (Unit = m/s)

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  1. 29 February, 18:39
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    14.7 m/s

    Explanation:

    During the first phase, given:

    Δx = 60.0 m

    v₀ = 0 m/s

    a = 1.99 ms²

    Find: v

    v² = v₀² + 2aΔx

    v² = (0 m/s) ² + 2 (1.99 m/s²) (60.0 m)

    v = 15.5 m/s

    During the second phase, given:

    Δx = 40.0 m

    v₀ = 15.5 m/s

    a = - 0.266 ms²

    Find: v

    v² = v₀² + 2aΔx

    v² = (15.5 m/s) ² + 2 (-0.266 m/s²) (40.0 m)

    v = 14.7 m/s
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