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Let and
be, respectively, the length and the width of the rectangle.
If the length is 4 inches more than the width, we have
Moreover, the perimeter of a rectangle is given by
And we can substitute to get
We know that the perimeter is 34 inches:
Which implies
Answer: if S is the distance, the fact that the distance is proportional to the square of the time means that S(t) = a* where a is a constant of proportionality, with units of
.
We know that S(1) = 16 feet = a*1, then a = 16
then S(2) = 16*4 feet = 64.
and if we want to know in how much time te objet will fall 400feet, then S(t₀) = 400 feet = 16*
so t₀ = = 5s.