assuming it dives vertically down, and gravity helps,
s(t) = -81/3 t - 16t^2
s(4.5) = -445.5 ft
If no gravity included, and the eagle flies at a constant velocity, just exclude that term
-81/3 * 9/2 = -121.5 ft
PS: why ever assign a speed of 81/3? That's just 27!
If you mean 8 1/3, then redo the calculation with the proper value (25/3).
An eagle dives from it's nest with a velocity of -81/3 feet per second. Find the vertical displacement in 4 1/2 seconds
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