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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

iogann1982 [59]

<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

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!

3 0

3 years ago

The lateral surface area of the wrapper for an ice cream cone is 47.1 cm squared.If the lateral height of the ice cream cone is

Simora [160]

To determine the radius of the cone, we make use of the lateral surface area of the cone. The lateral surface of an object is the area of all the sides of a certain object. For a cone, it is the product of pi, the radius and the slant height (lateral height). We calculate as follows:
Lateral Surface Area = πrh
47.1 = πr(6)
r = 2.5 cm

5 0

3 years ago

Pleassseeeeee help pleaseeeeeeeeeeeee help

Neko [114]

Answer:

The picture is attached!

Step-by-step explanation:

For c, the last bracket said (y=6) and I assumed that it is (y+6).

If it is (y-6), the answer would change, so please tell me if I am wrong.

But the rest, I hope it helps, if you have any questions, please feel free to ask me:)

BRAINLIEST would help me a lot:)