13Answer: no, the backpack won't have time to fall in 1 second.
Explanation:
Let h(t) represent the distance the pack is located above the ground at time t.
Then h(t)=20 ft-16t^2 ft.
Notice how h = 20 ft (the initial height) and that it decreases as t increases.
How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:
0 ft=20 ft-16t^2 ft yields 16t^2 ft=20, or t^2 ft=20/16, which is greater than 1.
So the question "Will the backpack hit the ground in 1 second" is answered by no.
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