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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?

Answer :

Answer:

(a) 80.36 m/s^2

(b)  0.0933 second

Explanation:

initial velocity, u = 7.5 m/s

final velocity, v = 0 m/s

distance moved, s = 0.350 m

(a) Let a be the deceleration.

Use third equation of motion

[tex]v^{2}=u^{2}+2\times a\times s[/tex]

[tex]0^{2}=7.5^{2}+2\times a\times 0.350[/tex]

a = 80.36 m/s^2

Thus, the deceleration is 80.36 m/s^2.

(b) Let the time taken is t

Use first equation of motion

v = u + a t

0 = 7.5 + 80.36 x t

t = 0.0933 second

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