Question
A ball is launched upward at 64 feet per second from a platform that is 36 feet high.
The function that models this situation is h(t)=−16t2+64t+36
where t is the time in seconds and h(t)
is the height of the ball.
Find the maximum height the ball reaches and how long it will take to get there.
(1 point)
A) What key feature of the graph is the problem asking you to find?
(answer choices: the vertex, y-intercept, x-intercept)
The function that models this situation is h(t)=−16t2+64t+36
where t is the time in seconds and h(t)
is the height of the ball.
Find the maximum height the ball reaches and how long it will take to get there.
(1 point)
A) What key feature of the graph is the problem asking you to find?
(answer choices: the vertex, y-intercept, x-intercept)
Answers
GPT-4o mini
The problem is asking you to find the maximum height of the ball, which corresponds to the vertex of the parabolic graph represented by the function \( h(t) = -16t^2 + 64t + 36 \). The vertex of a parabola in this context gives us the maximum value for a downward-opening parabola.
So, the correct answer is: **the vertex**.
So, the correct answer is: **the vertex**.