The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
An equation is an expression used to show the relationship between two or more numbers and variables.
Let us assume the height of the egg (h) at time t is given by:
h(t) = -16t² + 96t - 120.35
The maximum height is at h' = 0, hence:
h' = -32t + 96 = 0
-32t + 96 = 0
t = 3 sec
h(3) = -16(3)² + 96(3) - 120.35 = 23.65
The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
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