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
Martina spends $15 each time she travels the toll roads. She started the month with $225 in her toll road account. The amount, A
PolarNik [594]

Answer:

$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.

Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.

Step-by-step explanation:

6 0
2 years ago
15-3(2+6 times -3) <br> What would this simplify to?
pickupchik [31]
-45 because of PEMDAS
8 0
3 years ago
Read 2 more answers
A percent is a fraction whose denominator is 100.<br><br> Always<br><br> Sometimes<br><br> Never
madreJ [45]
It's sometimes, because let's say I have 4/5 right? So when in a percent it's 80%. I suppose you could turn it into a a decimal of 80/100 but no not always. 3295729357/1000000000000. That doesn't have a denominator of 100, so yeah.
6 0
3 years ago
Read 2 more answers
What is the equation (4, 5) m=-1/4 solved in point slope form?
hammer [34]

Answer:

<h2>y - 5 = -1/4(x - 4)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

We have m = -1/4 and the point (4, 5). Substitute:

y-5=-\dfrac{1}{4}(x-4)

8 0
3 years ago
The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?
Vinil7 [7]
So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3

7 0
3 years ago
Read 2 more answers
Other questions:
  • In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.
    7·2 answers
  • Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)
    11·2 answers
  • 2x^2 +7x +3÷x^3 - x^2 +3x-10​
    7·1 answer
  • Liz am confused on those places help
    15·2 answers
  • Which of these nonterminating decimals can be converted into a rational number?
    9·1 answer
  • What is the center of a circle whose question is x2+y2-12x-2y+12=0?
    9·2 answers
  • What group of numbers does -2 belong to?
    10·1 answer
  • Find the measurement of Angle SPQ
    11·2 answers
  • Explain why 0.3 x 0.9 doesn't equal 2.7
    10·1 answer
  • -4x-y=24 missing value
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!