Question

an egg is thrown from a rooftop. the equation $h = -4.9t^2 + 9t + 18$ represents this situation, where $h$ is the height of the egg above the ground, in meters, $t$ seconds after it is thrown. according to the equation, what is the height, in meters, from which the egg was thrown?

Explanation:

Step1: Identify initial time

The egg is thrown at \(t=0\) seconds.

Step2: Substitute \(t=0\) into height equation

Substitute \(t=0\) into \(h = -4.9t^2 + 9t + 18\):
\(h = -4.9(0)^2 + 9(0) + 18\)

Step3: Calculate initial height

Simplify the expression:
\(h = 0 + 0 + 18 = 18\)

Answer:

18