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3 July, 13:40

Colonel John P. Stapp, USAF, participated in studying whether a jet pilot could survive emergency ejection. On March 19, 1954, he rode a rocket-propelled sled that moved down a track at a speed of 632 mi/h. He and the sled were safely brought to rest in 1.40 s. (a) Determine the negative acceleration he experienced. (b) Determine the distance he traveled during this negative acceleration.

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  1. 3 July, 15:23
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    (a) a = - 201.8 m/s²

    (b) s = 197.77 m

    Explanation:

    (a)

    The acceleration can be found by using 1st equation of motion:

    Vf = Vi + at

    a = (Vf - Vi) / t

    where,

    a = acceleration = ?

    Vf = Final Velocity = 0 m/s (Since it is finally brought to rest)

    Vi = Initial Velocity = (632 mi/h) (1609.34 m / 1 mi) (1 h / 3600 s) = 282.53 m/s

    t = time = 1.4 s

    Therefore,

    a = (0 m/s - 282.53 m/s) / 1.4 s

    a = - 201.8 m/s²

    (b)

    For the distance traveled, we can use 2nd equation of motion:

    s = Vi t + (0.5) at²

    where,

    s = distance traveled = ?

    Therefore,

    s = (282.53 m/s) (1.4 s) + (0.5) ( - 201.8 m/s²) (1.4 s) ²

    s = 395.54 m - 197.77 m

    s = 197.77 m
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