Question

an egg is thrown from a rooftop. the equation h = -4.9t² + 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 the time when the egg is thrown

When the egg is thrown, $t = 0$ seconds.

Step2: Substitute $t = 0$ into the height - time equation

Substitute $t=0$ into $h=-4.9t^{2}+9t + 18$. We get $h=-4.9\times(0)^{2}+9\times(0)+18$.
Since $-4.9\times(0)^{2}=0$ and $9\times(0) = 0$, then $h = 18$.

Answer:

18