Determine which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time at which the egg reached the maximum altitude.

23.65 feet at 3 seconds
23.45 feet at 3 seconds
23.78 feet at 3.7 seconds

Respuesta :

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

What is an equation?

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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