An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing

Question

An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m. (a) What is his deceleration?(b) How long does the collision last?

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niczorrrr 4 years 2021-08-14T20:34:39+00:00 1 Answers 77 views 0

Answers ( )

  1. Doris
    0
    2021-08-14T20:36:33+00:00
    Reply

    Answer:

    (a) the deceleration of the player is -80.36 m/s²

    (b) the time the collision last is 0.093 s

    Explanation:

    Given;

    Initial velocity of the football player, u = 7.50 m/s

    Final velocity of the football player, v = 0

    distance traveled = compression of the pad, s = 0.35 m

    Part (a) the deceleration of the player

    v² = u² + 2as

    0 = 7.5² + (2 x 0.35)a

    0 = 56.25 + 0.7a

    – 56.25 = 0.7a

    a = -56.25 / 0.7

    a = -80.36 m/s²

    Part (b) the time the collision last

    v = u + at

    t = (v – u)/a

    t = (0 – 7.5)/ -80.36

    t = – 7.5 / -80.36

    t = 0.093 s

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