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An unwary football player collides with a padded goalpost while running at a vel

ID: 1418164 • Letter: A

Question

An unwary football player collides with a padded goalpost while running at a velocity of 5.50 m/s and comes to a full stop after compressing the padding and his body 0.550 m.
(a) How long does the collision last? __________s (b) What is his deceleration? __________m/s2 An unwary football player collides with a padded goalpost while running at a velocity of 5.50 m/s and comes to a full stop after compressing the padding and his body 0.550 m.
(a) How long does the collision last? __________s (b) What is his deceleration? __________m/s2 An unwary football player collides with a padded goalpost while running at a velocity of 5.50 m/s and comes to a full stop after compressing the padding and his body 0.550 m.
(a) How long does the collision last? __________s (b) What is his deceleration? __________m/s2

Explanation / Answer

8.50=5.50,0.350=0.550

We know:
Vi = 5.50 m/s (initial)
x=0.550 m
V=0 m/s (final)
V²=Vi²+2ax
a = -Vi²/(2x) = -(5.5 ²)/(2(0.55)) = - 27.5 m/s/s
Now solve for time using:
V = Vi + at
t=-Vi/a = (- 5.5) / - 103.2 = 0.2 s

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