Problema Solution
The height of an item falling can be modeled by ht = -16t^2 + h0. Where h0 is the initial height in feet at time t in seconds. If I drop a bracelet at a height of 17.5 feet, how long will it take the item to hit the ground?
Answer provided by our tutors
Let t represent the time that the bracelet needs to hit the floor, t>0
h0 = 17.5 ft
h(t) = -16t^2 + h0
h(t) = -16t^2 + 17.5
h(t) = 0
-16t^2 + 17.5 = 0
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t = 1.05 s
It takes 1.05 seconds for the bracelet to hit the ground.