Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y=15+110x-16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground?

A.The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds
B.The pumpkin's maximum height is 3.44 feet and it hits the ground after 7.01 seconds
C.The pumpkin's maximum height is 204.06 feet and it hits the ground after 3.44 seconds D.The pumpkin's maximum height is 3.44 feet and it hits the ground after 204.06 seconds

27 answers

find the vertex to find the maximum height

let 0 = 15 + 110t - 16t^2 and solve for t
to get the time it hits the ground.
One of your answers will be negative, you will ignore that one
Would the answer be c?
Its a shame this was never answered, ill be back later to post the answer if i can, for the people who look it up in the future.
Did you ever get the answer??
The pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds! (c)
tks
NO NO NO

the answer is A!!

kisama!!!! >:(
Is it A or C??
It's A!!
Rach's answer is definitely wrong. Not only is it wrong math-wise, logically, the pumpkin wouldn't take 3 seconds to fall from 200 ft. (Unless it was as heavy as a car, then maybe) But the answer is A. Thank you all, and remember, it's not cheating if you're not caught!
Doesn't matter how heavy the object is, it will fall at the same speed, Newtons laws my friend. There is no air resistance in algebra.
Rach's answer has 0 dislikes, imma have to go with C
ha howd that work out for ya lukašŸ’€
imma go with c tho
So is it A or Cā˜ ļø
Just go with C.
The pumpkinā€™s maximum height is is 204.06 feet and it hits the ground after 7.01 seconds, therefore, the answer is A. Hope this helps.
the answer is A, the height is 204.06 ft and hits the ground after 7.01
wtf is it A or C?????
The answer is A everyone. Just use Mathway to graph the given equation and find the vertex and the x intercept that is not at zero. Y would be the height and X would be the time.
For 2022 students the answer is B. The pumpkinā€™s maximum height is 151.02 feet and hits the ground after 6.04 seconds.
I know this may sound like the same old gibberish that you all may/may not have heard already, however I can definitely confirm that answers and questions DO VARY depending on the student(s)/schools that the assignment is for. So, please guys, confirm that the question you are analyzing has the same options to choose from, for starters. Then, if you can, confirm the reasoning of the individuals on here that have responded. Then, and only then, will you most likely find the proper answer you seek.
"Every year in Delaware there is a contest where people cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)"

I can confirm that "The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds." is correct.
a
the answer is C
I just plugged it into desmos it's a, why are people saying c.
Why are people still questioning the answer, the majority of people say a, itā€™s more than likely a