Answer:
yes, the backpack will hit the ground in ~2 seconds ([tex]1.93649167[/tex] seconds)
Explanation:
to find out, we use [tex]s=16t^2[/tex], where [tex]s[/tex] = distance from ground and [tex]t[/tex] = time
as we are given 60ft for the distance from the ground, the equation turns into [tex]60 = 16t^2[/tex]
to find [tex]t[/tex], divided both sides by 16 to get [tex]3.75 = t^2[/tex]
then get the square root of [tex]3.75[/tex], which is [tex]1.9364916[/tex]
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[tex]60 = 16t^2[/tex]
[tex]60/16 = 16t^2/16[/tex]
[tex]3.75 = t^2[/tex]
[tex]\sqrt{3.75}[/tex]
[tex]1.93649167[/tex]
