Step-by-step explanation:
Use the height equation:
y = ½ a t² + v t + h
where y is the height at time t,
a is the acceleration due to gravity,
v is the initial velocity,
and h is the initial height.
Here, a = -16, v = 0, and h = 90.
y = -8t² + 90
When the egg lands, y = 0.
0 = -8t² + 90
8t² = 90
t² = 45/4
t = 3.35
It takes approximately 3.35 seconds for the egg to land.