A hiker drops a rock from the rim of the Grand Canyon. The distance it falls d in feet after t seconds is given by the function d=16t^2

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A hiker drops a rock from the rim of the Grand Canyon. The distance it falls d in feet after t seconds is given by the function d=16t^2. How far has the rock fallen after (3 + sq rt(2) )seconds?

Answer:

d=16t^2 --------- t=3+√2
d=16(3+√2) ^2
Distribute the power to each thing inside the parenthesis (the 3 AND the √2)
The power and the radical cancel out, leaving you with
d=16(9+2)
d=16(11)
d=176
The rock fell 176 feet (: