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10 December, 17:19

A car traveling at 54km/hr slows down uniformly to a velocity of 18km/hr when the break were gradually applied. 1. how long does it takes to cover a distance of 50m 2. what is the deceleration?

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  1. 10 December, 17:30
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    1. 5 s

    2. - 2 m/s²

    Explanation:

    Given:

    v₀ = 54 km/hr = 15 m/s

    v = 18 km/hr = 5 m/s

    Δx = 50 m

    1. Find: t

    Δx = ½ (v + v₀) t

    (50 m) = ½ (5 m/s + 15 m/s) t

    t = 5 s

    2. Find: a

    v² = v₀² + 2aΔx

    (5 m/s) ² = (15 m/s) ² + 2a (50 m)

    a = - 2 m/s²
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