Estimate the acceleration you subject yourself to if you walk into a brick wall at normal walking speed. (Make a reasonable estimate of your speed and of the time it takes you to come to a stop.) Give your reasoning, and make sure your estimate has units

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Answer:

From certain assumptions that the walking speed is 2 m/s, and the stop time is 0.1 s the acceleration would be -20 m/s

Explanation:

Using the average acceleration formula:

[tex]a=\frac{\Delta v}{\Delta t}[/tex] where [tex]\Delta v[/tex] and [tex]\Delta t[/tex] are the changes in the speed and time respectively.

We have by assuming that the walking speed is 2 m/s and the stop time is 0.1s which is equal to the change in time during the stopping.

[tex]\Delta v=v_f-v_i=0-2 m/s=-2 m/s[/tex], where [tex]v_i,v_f[/tex] are the initial speed and final speed respectively, and [tex]\Delta t=0.1 s[/tex]

Plugging the previous in the average acceleration formula we get

[tex]a=\frac{-2}{0.1}=-20\, m/s[/tex] where the minus sign indicates an acceleration in the opposite direction of the motion (or in other word opposite to the speed's direction).

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