If a rock is dropped from the the 124nd Floor Observation Deck of the Burj Khalifa (the tallest building in the world) then the rocks distance in feet from the ground "t" seconds after being released is defined by f(t) = -16t^2 + 2112
a. How long will it take the rock to hit the ground?
b. How high is the 124nd floor observation deck? Explain your answer, Please and thank you very much!
a. How long will it take the rock to hit the ground?
b. How high is the 124nd floor observation deck? Explain your answer, Please and thank you very much!
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a.
f(t) = -16t^2 + 2112
0 = -16t^2 + 2112
16t^2 = 2112
t^2 = 132
t = sqrt(132)
t = 11.49 seconds
b.
The observation deck is 2112 feet above the ground. We know this because t=0 is the height at which the ball is initially released, and f(0) = 2112.
f(t) = -16t^2 + 2112
0 = -16t^2 + 2112
16t^2 = 2112
t^2 = 132
t = sqrt(132)
t = 11.49 seconds
b.
The observation deck is 2112 feet above the ground. We know this because t=0 is the height at which the ball is initially released, and f(0) = 2112.