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23 March, 22:43

A NFL linebacker runs the 100m sprint in 12s. What is his final velocity?

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  1. 23 March, 22:49
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    Final velocity of NFL line backer is 16.67 m/s.

    Explanation:

    From the question, we have following data about the NFL line backer:

    Initial Speed of line backer = Vi = 0 m/s (Since, he starts from rest)

    Distance covered by NFL line backer = s = 100 m

    Time taken by the NFL line backer to complete 100 m sprint = t = 12 s

    Acceleration of NFL line backer during sprint = a

    Final Velocity of NFL line backer = Vf = ?

    First we need to find the acceleration of the NFL line backer. For that purpose we will use 2nd equation of motion:

    s = (Vi) (t) + (0.5) at²

    using values:

    100 m = (0 m/s) (12 s) + (0.5) (a) (12 s) ²

    100 m/72 s² = a

    a = 1.39 m/s²

    Now, we use 1st equation of motion to find Vf:

    Vf = Vi + at

    Vf = 0 m/s + (1.39 m/s²) (12 s)

    Vf = 16.67 m/s
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