SOLUTION: Suppose you could drop a small object from the Observatory of the Empire State Building, which is located on the 86th floor at 1050 feet. How long would it take for the object to r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose you could drop a small object from the Observatory of the Empire State Building, which is located on the 86th floor at 1050 feet. How long would it take for the object to r      Log On


   



Question 1028837: Suppose you could drop a small object from the Observatory of the Empire State Building, which is located on the 86th floor at 1050 feet. How long would it take for the object to reach the ground, assuming there is no air resistance? Use the formula h(t) = ­-16t2 + h0.
Answer by ikleyn(52879) About Me  (Show Source):
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Suppose you could drop a small object from the Observatory of the Empire State Building, which is located on the 86th floor at 1050 feet.
How long would it take for the object to reach the ground, assuming there is no air resistance? Use the formula h(t) = ­-16t2 + h0.
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To determine the time, write the equation for the free fall

h(t) = -16%2At%5E2+%2B+1050

and find its root

-16%2At%5E2+%2B+1050 = 0,

where 0 in the right side is the ground level. You have

16%2At%5E2 = 1050,

t%5E2 = 1050%2F16 = 65.625,

t = sqrt%2865.625%29 = 8.1 seconds.