A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
A ball in flight is modeled by the function
h(t)=16t²+128t. Find the maximum height and time to get there.
anonymous
 4 years ago
A ball in flight is modeled by the function h(t)=16t²+128t. Find the maximum height and time to get there.

This Question is Closed

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0The maximum height will be the y coordinate of the vertex. Can you find that?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Do you know that the graph of that function is a parabola?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0So then you know that it has either a high point or a low point?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0which one does this problem have...a high point (maximum) or a low point (minimum)?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0It has a hight point (maximum) because the coefficient of the t^2 term is negative.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Do you know that the high point is called the vertex?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Do you know that the vertex is represented by an ordered pair that has an x value and a y value?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Ok. we need to find that highest point (vertex). The x coordinate of the vertex is x=b/2a Calculate that.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0\[x=\frac{128}{2(16)}=\frac{128}{32} = 4\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0\[y=16(4)^2+128(4)= 256\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0So the vertex is (4,256) and the maximum height of the ball is 256 feet.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0And that happens when the time is 4 seconds.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.