Asked by ssssssssss

A ball is thrown into the air with an initial upward velocity of 46 ft/s. Its height (h) in feet after t seconds is given by the function h=-16t^2 +46t +6. After how many seconds will the ball hit the ground?
A. 3
B. 4
C. 5
D. 6
I am at this part:-16t^2 +46t +6=0

I dont know how to factor this....can someone plz help me
Answered by oobleck
why factor? Just use the quadratic formula. It always works.
Answered by Damon
-16t^2 +46t +6=0
is the sameas
16 t^2 - 46 t - 6 = 0
which is
8 t^2 - 23 t - 3 = 0
now factor
Answered by Damon
right off you can see
need
( something - 3)(something + 1)
or
(something +3 )(something -1)
Answered by Damon
so try (t-3)( something t + 1)
Answered by Damon
the quadratic equation means
if
a x^2 + b x + c = 0
then
x = [ -b +/- sqrt (b^2 - 4 a c) ]/ (2a)
Answered by Damon
You can get it by completing the square
a x^2 + b x = -c
x^2 + (b/a) x = -c/a
x^2 + (b/a) x + (b / 2a)^2 = -c/a + (b / 2a)^2
(x+ b/2a)^2 = -c/a + (b / 2a)^2
x+ b/2a = +/- sqrt (-c/a+b^2/4a^2)
x = -b/2a +/- sqrt [ (- 4 c a + b^2 )/4 a^2 ]
= -b/2a +/- (1/2a)sqrt (b^2 - 4 a c)
= [ -b +/- sqrt(b^2 - 4ac) ] / 2a
Answered by henry2,
V = Vo + g*Tr = 0
46 - 32Tr = 0
Tr = 1.44 s. = Rise time.

V^2 = Vo^2 + 2g*h1 = 0
46^2 - 64h1 = 0
h1 = 33 ft. above launching point.
h = 33+6 = 39 ft. above gnd.
16Tf^2 = 39
Tf = 1.56 s. = Fall time.
Tr+Tf = 1.44 + 1.56 = 3 s. to hit gnd.
Answered by uh
so the answer?
Answered by uh
3 seconds?
Answered by kabutos admirer
hello??? answers pleaseee
Answered by kabutos admirer
actually i got y’all:
b
a
a
c
d
c
c
a
Answered by BOB
kabutos admirer is 100% correct!
Answered by lee know
yea kabutos admirer is correct 😄👍🏼.
Answered by :)
kabutos admirer is a life saver <3
Answered by Thank you!
Kabutos admirer really is a life saver. XD Those are still the correct answers as of today!
Answered by Mori
I've been looking up quadratic formulas and everything but oml these word problems suck </3

(the only reason i made it through the blanket in the practice one was acting like it was a riddle and not doing any math </3)
Answered by meow
thank you soooosoo much everyone especially kabutos admirer!! have a great day everyone!! :3
Answered by Lilpeep
Update! I took the quiz and I got 4/8. I guess they changed the answers :/
The new ones are:
b
a
c
d
c
c
b
a
good luck guys!
Answered by SukunaIsMyHusbando

I just took it and the answers only changed slightly
1.) B | (1,3)
2.) A | Maximum
3.) A | 3
4.) C | 42 feet
5.) D | 11, -11
6.) C | -7,-1
7.) C | -6,4
8.) A | 3.33 ft

There y'all go- I wouldn't have spent so long typing that if it was wrong LSDFHK good luck fellow cheaters ^^
Answered by ???
omg TYSM SukunaIsMyHusbando!
Answered by yeet
karaboutos is still correct as of april 28 2021
Answered by sausage
Kabutos is correct as of now
Answered by T
SukunaIsMyHusbando is correct, I hot 8/8 thank you
Answered by Ally cat
Kabuto is right! Their a life saver 100% correct! ❤❤
Answered by idecidedtoskipthisunit
Kabuto still 100%
Answered by BruhLook
@ SukunaIsMyHusbando is still correct has of 2023 lol
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