1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
3 years ago
5

Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use

this information to find out the maximum height the pumpkin will go before landing.
Please show your work

(98 points)
Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

<h2>Why?</h2>

Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.

So, we can calculate the maximum height of the pumpkin using the following formulas:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

v=vo-gt

Where,

y, is the final height

y_o, is the initial height

g, is the acceleration of gravity , and it's equal to:

g=32.2\frac{ft}{s^{2} }

t, is the time.

Now, we are given the following information:

y_{o}=12ft\\\\v=61\frac{ft}{s}

Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:

Time calculation,

We need to use the following equation,

v=vo-gt

So, substituting we have:

v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s

We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.

Maximum height calculation,

Now, calculating the maximum height, we need to use the following equation:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

Substituting and calculating, we have:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft

Hence, we have that the maximum height before the landing will be 69.7804 feet.

Have a nice day!

You might be interested in
Please Help I will reward brainliest
madreJ [45]
1/
V=44.312 in^3
2/
V=42.453 in^3
3/
V=75.36 in^3
4/
V=696.557 in^3
5/
V=671.175 in^3. Hope it help!
8 0
3 years ago
Which symbol correctly compares these fractions? −4/5 −8/9
mrs_skeptik [129]

Answer:

" > "

Step-by-step explanation:

-4/5=4x9 5×9

-4/5 = - 36/ 45

-8/9=8×5 9×5

-8/9 =-40/45

-36/ 45 > -40/45

-4/5 > -8/9

in this case - 4/5 is closer to 0

4 0
1 year ago
Read 2 more answers
Could anyone help with this, im terrible at geometry haha
bekas [8.4K]

Answer:

10.90⁰

11.126⁰

12.54⁰

13.180⁰

Step-by-step explanation:

CDE is 180⁰ because it is a straight line

3 0
2 years ago
Read 2 more answers
Evaluate 8 into 5 /-4<br> i will give you Brainliest<br> 15 points
vlabodo [156]
It’s -10
Explanation: 8 x 5= 40
40/-4= -10
3 0
2 years ago
Read 2 more answers
A triangular portion of a baseball field is marked as shown below. To the nearest tenth, what is the length of the side labeled
dem82 [27]

Answer:

The answer would be 3.6

Is it OK if I don't explain it?

4 0
3 years ago
Other questions:
  • Which equation represents the graph?
    15·1 answer
  • Identify the equation of the parent function, y=x3, that is horizontally stretched by a factor of 1/5 and reflected over the y-a
    12·2 answers
  • 3/4, 1, 5/4 find the 22nd &amp; 43rd terms
    7·1 answer
  • Help me pleaseee I’m still have more works to dooooo
    11·2 answers
  • Jackson says has an odd number of model cars.he has 6 cars on one shel and 8 cars on another shelf.is jackson correct?explain
    8·1 answer
  • Change 53/5 from an improper fraction to a mixed number.
    14·2 answers
  • Help ! Easy 7th grade work ! I’ll give brainliest.
    11·2 answers
  • How to solve similar integer
    10·1 answer
  • ttttttttttttttttttttttthhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeerrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeee
    6·1 answer
  • Simplify.<br><br> [3 • (3 – 9)] + 9
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!