An arrow is shot vertically upward from a platform 35 ft high at a rate of 166 ft/sec. When will the arrow hit the ground? Ignore the air resistance. Use the formula ℎ = −16 2 + 0 + ℎ0. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

The arrow will hit the ground approximately 10.5 seconds after launch.

Step-by-step explanation:

The arrow experiments a free fall motion, which is a particular form of uniform accelerated motion due to gravity and in which air friction and effects from Earth's rotation can be neglected. Then, the height as a function of time ([tex]h(t)[/tex]), measured in feet, is obtained by the following kinematic formula:

[tex]h(t) = h_{o}+v_{o}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)

Where:

[tex]h_{o}[/tex] - Initial height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity of the arrow, measured in feet per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

If we know that [tex]h(t) = 0\,ft[/tex], [tex]h_{o} = 35\,ft[/tex], [tex]v_{o} = 166\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{m}{s^{2}}[/tex], then the following polynomial is obtained:

[tex]35+166\cdot t -16.087\cdot t^{2}=0[/tex] (2)

Lastly, we find the roots of the given expression by the Quadratic Formula:

[tex]t_{1}\approx 10.526\,s[/tex] and [tex]t_{2} \approx -0.207\,s[/tex]

Time is a positive variable and then we conclude that the only solution that is physically reasonable is approximately 10.526 seconds.

The arrow will hit the ground approximately 10.5 seconds after launch.


Related Questions

h(x) = x2-5
Find h(-7)
Simplify your answer.

Answers

Answer:

-19

Step-by-step explanation:

you plug -7 into x

-7 x 2= -14

-14 + -5= -19

find the slope of the line graphed below.

Answers

Answer:

Step-by-step explanation:

This is a trick. Since it's y=4. there is no slope, the slope is 0

The slop is 0 because there is no slop because y=4

I just need someone to answer these:
7 × 4/8
9 × 7/10
1/12 of 1
2/6 of 2
TYSM❤️❤️❤️

Answers

Answer:

7x4/8=3.5

9 × 7/10=6.3

(i dont know this one or the next, hope it helps! ❤

Step-by-step explanation:

Answer:

7 × 4/8= 3 1/2

9 × 7/10 = 6 3/10

1/12 of 1 = 12

2/6 of 2= 6

solve for each term

S + H = 256

S + B + H = 260

S + C + B = 230

S + C + B + C = 360​

Answers

Answer:

thx

Step-by-step explanation:

The admission fee at an amusement park is $2.25 for children and $6.80 for adults. 288 people entered the park, and the admission fees collected totaled 1194 dollars. How many children and how many adults were admitted?

Answers

Answer: Number of children  = 168

Number of adults = 120

Step-by-step explanation:

Let x = Number of children and y = Number of adults

As per given,

x+y=288          (i)

2.25x+6.80y =1194       (ii)

Multiply 2.25 on both sides in (i)

2.25x+2.25y= 648       (iii)

Eliminate (iii) from (ii)

4.55y=546

[tex]\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120[/tex]

Put y= 120 in (i)

x+120=288

⇒ x=288-120

⇒ x= 168

Hence, Number of children  = 168

Number of adults = 120

What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5

Answers

Answer:

Y= -3/2x-8

Step-by-step explanation:

50 POINTS! For the Transformation T, write the T-1.
T : (x, y) (x, y)
T -1 (x, y)

A. ( x, y)
B. (½ x, ½ y)
C. ( x - 1, y - 1)

Answers

Answer:

the answer is c I think, I'm sorry if it is wrong, but I'm pretty sure it's right

Answer:

C

Step-by-step explanation:

Somebody please help ?

Answers

your answer is -i hoped it helped

how do I find and interpret slope​

Answers

If there’s a graph, draw a triangle and do rise/run.
If there are two given points use formula: (y2-y1)/(x2-x1) to find slope

Answer:

The slope is the rise over run. The change in y over the change in x. Pick two points on a line and find the change. It is usually represented by m in the slope intercept form.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick two points on a line and use the formula m to find the slope, which represents the rate of change.

Step-by-step explanation:

While chasing its prey, a cheetah is running slowly and then increases its speed by 50.6 miles per hour to reach a top speed of 70 miles per hour. What is the cheetah's initial speed? And what is the answer in miles per hour

Answers

Answer:

The Cheetah's initial speed is 19.4 miles per hour

Step-by-step explanation:

Since the Cheetah is initially running and then gradually increases its speed by 50.6 miles per hour to reach a top speed of 70 miles per hour, let the Cheetah's initial speed be u.

Also, let the increase in the Cheetah's speed be Δu and let v be the Cheetah's final speed.

Now, the final speed, v = initial speed, u + change in speed, Δu

So, v = u + Δu

So, the Cheetah's initial speed is u = v - Δu

Now, v = 70 mi/h and Δu = 50.6 mi/h

Substituting v and Δu into the equation, we have

u = v - Δu

u = 70 mi/h - 50.6 mi/h

u = 19.4 mi/h

So, the Cheetah's initial speed is 19.4 miles per hour

Which pairs of angles are corresponding angles?
13
214
517
618
1 and
5

Answers

Answer:

A. 1 and 5

D. 3 and 7

E. 4 and 8

Kenwyn is making flower arrangements for invent the table shows the number of flower arrangement F can make an M minutes which equation represents the relationship between the number of flower arrangement she can make in the time in minutes it takes her to make a flower arrangements

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A carton of eggs costs $2.90 and a package of bacon costs $3.10. How much
does it cost to buy 2 cartons of eggs and 1 package of bacon?

Answers

Answer:

8.90

Step-by-step explanation:

Answer: (8.90)

Step-by-step explanation:

help me please!!!!!!!​

Answers

Answer:

skp

Step-by-step explanation:

PLEASE HELP ME ANWSER THISSS​

Answers

Answer:

Step-by-step explanation:

Find the measure of the vertex angle ∠ABD of an isosceles triangle

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem

∠ABD=∠BAD= ----> the angles of the base are equals

Find the measure of the vertex angle

∠ABD= ------> the sum of the internal angles of a triangle is equal to

Step 2

Find the measure of the angle  ∠CBD in the equilateral triangle

we know that

A equilateral triangle has three  equal sides and three equal angles

The measure of the internal angle in a equilateral triangle is

so

∠CBD=

Step 3

Find the measure of the angle ∠ABC

∠ABC=∠ABD+∠DBC

substitute the values

∠ABC=

therefore

the answer is

the measure of the angle ∠ABC is

find a number between 2.39 and 2.4​

Answers

2.392 is a number in between 2.39 and 2.4

3x + 2 y = 8 5x + 2 y = 12 What is the solution of the system of equations shown above? O G. 2) 0 (-2,7) (2, 1) 0 (2,4)​

Answers

Answer:

(2,4)

Step-by-step explanation:

What is 2+2 easy question
Lol

Answers

Answer:

4

Step-by-step explanation:

BOOM

Answer:

4 haha

Step-by-step explanation:

I need help please!!!

Answers

Answer:

the answer is A

Step-by-step explanation:

hope this help

Point L is on line segment \overline{KM}
KM
. Given LM=3x+3,LM=3x+3, KM=5x+4,KM=5x+4, and KL=5x+1,KL=5x+1, determine the numerical length of \overline{KM}.
KM
.

Answers

9514 1404 393

Answer:

  KM = 4

Step-by-step explanation:

The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*

  KL +LM = KM

  (5x +1) +(3x +3) = 5x +4

  8x +4 = 5x +4 . . . .simplify

  3x = 0 . . . . . . . . . . subtract 5x+4

  x = 0 . . . . . . . . . . . divide by 3

Then the length of KM is ...

  KM = 5x +4 = 5·0 +4 = 0 +4

  KM = 4

_____

* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.

help me please to get 10 points ​

Answers

Answer:

boi we cany even see the questio  with yp andriod ahh camera

Step-by-step explanation:

6 pounds of shrimp for 18.06 what is the unit price

Answers

The answer is $3.01. To get this answer, divide 18.06 by 6. This is the unit price. 18.6/6. I hope this helps and I hope you have a blessed day.
$3.01, 18 divided by 6, is 3. so then you have $3.00 then you look at the .06, and get .01, so you get $3.01

you have to look close so you can see, but i need immediate help- i’ll make you a brainliest!!!

Answers

y=2x+1 where the slope is 2/1 and the y intercept is 1

Answer:

y=2x+1

Step-by-step explanation:

if you start at 1 on the y axis and go up 2 and over 1, you get the start of the line

Which inequality is graphed below?

Answers

Answer:

Step-by-step explanation:

a is the answer

Answer:

A

IS YOUR ANSWER

I HOPE IT HELPS MATE

I WILL ALWAYS HELP YOU UNDERSTANDING YOUR ASSINGMENTS

HAVE A GREAT DAY

#CAPTAINPOWER:)

What relations represents functions? SELECT ALL THE CORRECT ANSWERS!

Answers

I’m sorry but the picture is black.

Wish equations shows the point slope form of the line that passes through (3, 2) and has a slope of 1/3?

Answers

Answer:

A

Step-by-step explanation:

It has a slope of 1/3 and is the only one that passes through (3,2).

Calculate the side lengths a and b to two decimal places.
с
b
a
1070
50°
B
8
A. a = 15.68 and b = 19.58
B. a = 16 and b = 17
C. a = 14.71 and b= 17.56
D. a = 6.23 and b = 4.45

Answers

I think it would be A

Answer: A

Step-by-step explanation: Correct

Which equation represents a line which is parallel to the line y = -6x – 1?

Answers

Answer:

6x+y=-8 because it will be y=-6x-8 having same slope with the line given

Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion.




a∥b, Converse of the Same-Side Interior Angles Theorem

a∥b, Converse of the Alternate Interior Angles Theorem

a∥b, Converse of the Corresponding Angles Theorem

not enough information to make a conclusion

Answers

Answer:

I think It would be B

Step-by-step explanation:

There is a∥b, Converse of the Alternate Interior Angles Theorem, which is the correct answer that would be an option (B).

What are Interior Angles?

Interior angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

Given ∠4≅∠14, which lines,

If a transversal connects two parallel lines, we know that the corresponding angles and vertically opposed angles are equivalent.

Therefore,

⇒ ∠15 = ∠3 ...(i) [Corresponding angles]

⇒ ∠15 = ∠13 ...(ii) [Vertically opposite angles]

From equations (i) and (ii), we get

⇒ ∠3 = ∠13    [Alternate interior angles]

Similarly,

⇒ ∠4 = ∠14

Hence, it is proven.

Therefore, we conclude that a∥b, Converse of the Alternate Interior Angles Theorem.

Hence, the correct answer would be an option (B).

Learn more about the Interior Angles here:

brainly.com/question/2125016

#SPJ2

HELP ME I WILL GIVE BRAINLIEST TO THE FIRST PERSON TO DO IT.

Answers

Step-by-step explanation:

Here you go,

number 7 = 26

number 9 = 66

number 8 = 79

number 6 = 31

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