A community for students.
Here's the question you clicked on:
 0 viewing
MrNebula
 one year ago
New school year I forgot how to Algebra! Help me to remember!!
A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = 16t^2 + 28t + 7. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
MrNebula
 one year ago
New school year I forgot how to Algebra! Help me to remember!! A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = 16t^2 + 28t + 7. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.

This Question is Closed

MrNebula
 one year ago
Best ResponseYou've already chosen the best response.0Don't give me the answer! TEACH ME!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Are you famiilar with finding the derivative of a function?

MrNebula
 one year ago
Best ResponseYou've already chosen the best response.0No, if that's how you solve this, I might remember.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1ok well you can solve it by finding the vertex of the parabola . The raph is a parabola with a maximum value which corresponds to maximum height of the ball

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441993439026:dw

MrNebula
 one year ago
Best ResponseYou've already chosen the best response.0Its fine. So do I just fined the coordinates of the tip top of the hill?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yea  I'm a bit rusty at this myself I normally would use calculus but lets try it: convert the formula to vertex form h =  16t^2 + 28t  7 = 16(t^2 + 1.75t)  7 = 16(( t + 0.875)^2  0.765625))  7 which gives t = 0.875 seconds and vertex = 16*0.765625 + 7 = 19.25 feet

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1I completed the square on t^2  1.75t

MrNebula
 one year ago
Best ResponseYou've already chosen the best response.0Ok, you kinda gave me the answer but ill use what you have as a example template

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1thers some typos ther do you want them corrected?

MrNebula
 one year ago
Best ResponseYou've already chosen the best response.0The more I go over these problems the more ill remember, sadly everything is still blank XD

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1h =  16t^2 + 28t + 7 = 16(t^2  1.75t) + 7 = 16(( t  0.875)^2  0.765625)) + 7 this gives the time t = 0.875 seconds and the maximum height = 16 * 0.765625 + 7 = 19.25 ft

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1vertex form is 16(t  0.875)^2 + 19.25

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1(0.875,19,25) are the coordinates of the vertex
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.