Question:

Distance, velocity, acceleration?

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A train is traveling down a straight track at 33 m/s when the engineer applies the brakes, resulting in an acceleration of -1.0 m/s^2 as long as the train is in motion. How far does the train move during a 26 s time interval starting at the instant the brakes are applied?

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  1. How far does the train move during a 26 s

    (33*26)+(1/2)*(-1)*26^2 = 520m


  2. s = u t + 0.5 a t^2

    Where s is the distance travelled (strictly speaking, the displacement)

    Where u is the original velocity

    Where a is the acceleration or deceleration

    Where t is the time passed

    Therefore:

    s = 33 x 26 + 0.5 x -1 x 26 x 26

    s = 520m

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