College Physics by Openstax Problem 2.33

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?

SOLUTION:

Part a

a=\frac{v^2-v_0^2}{2\Delta x}

a=\frac{\left(0\:m/s\right)^2-\left(7.50\:m/s\right)^2}{2\left(0.350\:m\right)}

a=-80.4\:m/s^2

Part b

t=\frac{2\Delta x}{v+v_0}

t=\frac{2\left(0.350\:m\right)}{0\:m/s+7.50\:m/s}

t=9.33\times 10^{-2}\:s

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Link to Solution Manual of College Physics

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