Question 1101505
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The body is not falling at a constant rate; gravity is making it speed up.  So the distance it falls in t seconds is not a linear function.<br>
But the RATE at which the speed is INCREASING IS constant. So the formula for how far it falls DURING THE n-th SECOND is a linear function.<br>
And you can see that from the given information.  If we call the distance the body falls in the n-th second d(n), then
d(1) = 16
d(2) = 48
d(3) = 80
d(4) = 112
...<br>
The function value is increasing by 32 each second.  Then seeing that d(1) is 16, the function for the distance it falls during the n-th second is
d(n) = 32n-16.<br>
In the 7th second, the distance it will fall is {{{32(7)-16) = 208}}}<br>
We could verify that by continuing the pattern seen in the first 4 seconds:
d(5) = 144
d(6) = 176
d(7) = 208