Question
Luca is in a culvert below street level. He launches an object at an upward velocity of 40 feet per second. Use GeoGebra to graph the situation using the formula y=−16t2+40t−5
. How far above or below street level is Luca’s initial launching point?(1 point)
Responses
0 feet above or below
0 feet above or below
5 feet above
5 feet above
5 feet below
5 feet below
2.5 feet below
2.5 feet below
. How far above or below street level is Luca’s initial launching point?(1 point)
Responses
0 feet above or below
0 feet above or below
5 feet above
5 feet above
5 feet below
5 feet below
2.5 feet below
2.5 feet below
Answers
GPT-4o mini
To analyze Luca's launching point using the given formula, \( y = -16t^2 + 40t - 5 \), we can look at the \( y \)-intercept of the equation. The \( y \)-intercept occurs at \( t = 0 \), which will tell us how far above or below street level Luca's initial launching point is.
Substituting \( t = 0 \) into the equation:
\[
y = -16(0)^2 + 40(0) - 5
\]
This simplifies to:
\[
y = -5
\]
Therefore, when Luca launches the object, he is 5 feet below street level.
Thus, the answer is:
**5 feet below**.
Substituting \( t = 0 \) into the equation:
\[
y = -16(0)^2 + 40(0) - 5
\]
This simplifies to:
\[
y = -5
\]
Therefore, when Luca launches the object, he is 5 feet below street level.
Thus, the answer is:
**5 feet below**.