I know A and B and I just dont understand C and how to w rite a short paragraph

Question

I know A and B and I just dont understand C and how to write a short paragraph explaining what would be interesting about choosing a distance larger or smaller than 0.75m.

A=23.7m

B=21.6 m/s

C=?

Drop Tower NASA operates a 2.2-second drop tower at the Glenn Research Center in Cleveland, Ohio. At this facility, experimental packages are dropped from the lop of the tower, on the 8th Floor of the building. During their 2.2 seconds of free fall, experiments traveling when they hit the aire bags at the bottom of the tower? If the experimental package comes to rest over a distance of 0.75 m upon hitting the air bags, what is the average stopping acceleration?

Explanation / Answer

part c)

According to sir Issac newton what goes up must come down and his laws describes as

S= ut+ 0.5at^2

now we have

s' = 0.75m

s' = 1/2 a't^2

t = sqrt( 2s'/a' ) ............................eq (1)

v = a' * t

a' = v / t ....................................eq (2)

(1) in (2) a' = v / sqrt( 2s'/a')

a' sqrt( 2s'/a') = v

a'^2 2s/a' = v^2

a = v^2 / 2s

a = ( 21.6 [m/s] )^2 / 2 * 0.75 [m]

a= 310.46 m/s^2

a= 310.5 m/s^2

that it for distance 0.75m

now a is propotional to 1/2s

so if s decreses than a will be higher

if s increases than acceleration will be higher as 1/2s'

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