5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s in 3 seconds. What is your acceleration?

Step-by-step explanation:

initial velocity= 27

final velocity= 0

time = 3 sec

now

a= 0-27/3

a=-9 m/s^2

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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