Question

Camille launches a toy plane from the roof of the school building, which is 48 feet high. The plane's height above the ground is modeled by the function-16²+32+48.b) What is the highest point (maximum) the plane reaches in the air? There are several ways to determinethis answer but you MUST clearly explain all the steps you took to find the solution.

Answer 1

ANSWER:

64 feet.

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the time at which this maximum value occurs, we can calculate it just like this:

$\begin{gathered} x=-\frac{b}{2a} \\ \text{ we have the following equation:} \\ h=-16t^2+32t+48 \\ \text{ therefore} \\ a=-16 \\ b=32 \\ \text{replacing} \\ t=-\frac{32}{-16\cdot2}=1 \end{gathered}$

Now we replace the value of this time (t) in the function:

$\begin{gathered} h=-16(1)^2+32\cdot1+48 \\ h=-16+32+48 \\ h=64 \end{gathered}$

Which means that the maximum height reached is 64 feet.