Answer :
The distance the object will have fallen after 6 sedconds is 332ft
What is variation?
A variation is a relation between a set of values of one variable and a set of values of other variables.
Direct variation
In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. That is, you can say that y varies directly as x or y is directly proportional to x. In this function, m (or k) is called the constant of proportionality or the constant of variation. The graph of every direct variation passes through the origin.
le the distance be d and he time be t
so that d ∝[tex]t^{2}[/tex]
removing the proportionality sign and replacing it with a constant k
d = kt^2
when d = 83, t = 3
83 = k(3)^2
83 = 9k
k = 83/9
the equation becomes
d = 83/9 (t)^2
when t = 6, d becomes
d = 83/9 x(6)^2
d = 83/9 x 36
d = 332ft
In conclusion d = 332ft
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