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HW 26 - Vertex of a Parabola: Problem 5 (1 point) A ball is thrown into the air. Its height, in feet, $t$ seconds later is given by $h(t) = 112t - 16t^2$. a) Find the vertex of $h(t)$. ($\Box$,$\Box$) b) After how many seconds does the ball attain its maximum height? $\Box$ seconds c) What is its height at that moment? $\Box$ feet

          HW 26 - Vertex of a Parabola: Problem 5
(1 point)
A ball is thrown into the air. Its height, in feet, $t$ seconds later is given by
$h(t) = 112t - 16t^2$.
a) Find the vertex of $h(t)$.
($\Box$,$\Box$)
b) After how many seconds does the ball attain its maximum height?
$\Box$ seconds
c) What is its height at that moment?
$\Box$ feet
        
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HW 26 - Vertex of a Parabola: Problem 5
(1 point)
A ball is thrown into the air. Its height, in feet, t seconds later is given by
h(t) = 112t - 16t^2.
a) Find the vertex of h(t).
(,)
b) After how many seconds does the ball attain its maximum height?
 seconds
c) What is its height at that moment?
 feet

Added by James A.

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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HW26-Vertex of a Parabola: Problem 5 (1 point) A ball is thrown into the air. Its height, in feet, t seconds later is given by h(t) = 112t - 16t^2 a) Find the vertex of h(t). b) After how many seconds does the ball attain its maximum height? seconds c) What is its height at that moment? feet
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Transcript

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00:01 Okay, so we're going to start with the first, with rewrite the formula in vertex form.
00:06 So negative, negative 16 t squared plus 80t plus 69.
00:15 So i'm going to kick the 69 out, and i'm going to group these first two together, but then i'm going to factor out that 16.
00:22 So negative 16, parentheses, t squared minus 5t.
00:30 So now i'm going to complete the square here.
00:33 So that's going to be negative 16.
00:35 T minus 5 over 2 squared.
00:41 5 over 2 is 25 over 4.
00:46 So then i've got to distribute this over.
00:50 So negative 16 times 25 over 4.
00:54 That cancels to 4.
00:56 So that's going to be minus 100.
00:58 So that's going to be minus.
01:07 Oh, wait, that's a negative.
01:09 So that's going to be plus 100.
01:14 So plus 109.
01:18 Oh, wait.
01:22 169.
01:22 I forgot that 6.
01:24 So this should be 69 and not 109.
01:31 So 169.
01:32 All right...
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