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15 September, 07:23

How far does a plane fly in 15 s while its velocity is changing from 145 m/s to 75 m/s at a uniform rate of acceleration?

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  1. 15 September, 10:10
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    The solution would be like this for this specific problem:

    Given:

    - The initial velocity of the plane u = 75 m / s

    - Duration of change in velocity t = 15 s

    - The final velocity of the plane after 15 s, v = 145 m / s

    - Let its uniform acceleration be am s ^-2

    Now we know that v = u + at ⇒.145 = 75 + a * 15

    ⇒ a = (145) / 15 = 14/3 m s ^-2

    Now distance traversed during 15s is:

    s = u * t + 1/2 * a * t ^2 = 75 * 15 + ½ * 14/3 * 15 ^2 = 1650 m
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