Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?

Answers

Answer 1

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

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

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

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

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.


Related Questions

which coordinate pair represents the reflection of poin A across the y-axis

Answers

Answer:

i need and image

Step-by-step explanation:

35 over 11 rounded to the nearest tenth

Answers

35 over 11 rounded to the nearest tenth would be 3.2

subtract -9x-7 from 8x2 -5x +9​

Answers

Answer:

8x2+4x+16

Step-by-step explanation:

first you would place as so

8x2-5x+9 - (-9x-7)

you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7

You then add like terms and put them into standard form.

hope this helps!!

what is the answer to 3(5)​

Answers

Answer: 15

Step-by-step explanation:

3x5=15

The answer is gonna be 15

Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7

Answers

Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.

m DEF = 144° and m GEF = 69°. Find m DEG

Answers

Answer:

Angle DEG = 75 degrees

Step-by-step explanation:

Step 1:

m DEF - m GEF = m DEG

Step 2:

144 - 69 = 75

Answer:

75 degrees

Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct

Answers

Answer:

12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.

Step-by-step explanation:

>

Please help!!! Do In 20 minutes

Answers

Answer:

The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.

A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?

Answers

Answer:

13/16 = 0.813

Step-by-step explanation:

negative two minus negative 5

Answers

I think the answer to your question is 3

Answer:

3

Subtract the smaller number from the greater number.

You get -3, right?

Remeber the key rule- negative minus negative is positive.

I'm rather stuck on this question

Answers

Answer:

m<a = 30°

m<b = 90°

m<c = 60°

Step-by-step explanation:

Angles a, b, and c are all angles on a straight line.

Angles on a straight line add up to 180°.

Therefore, a + b + c = 180°

Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:

Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°

m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]

m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]

m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]

Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?

Answers

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

a=14; what does 15+5+a equal

Answers

Answer:

34

Step-by-step explanation:

So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:

15 + 5 + 14

15 + 5 = 20

20 + 14 = 34

All you do is replace a with 14 then add 15, 5 and 14 getting 34.

HOPE IT HELPED

what is 8 ninths plus 7 fifteenths

Answers

Answer:

122/90 or 1 32/90

Step-by-step explanation:

8/9 and 7/15 have the common denominator of 90.

Step 1:

8/9 + 7/15

Step 2:

80/90 + 42/90

Step 3:

122/90

Answer:

122/90 or 1 32/90

Hope This Helps :)

Which coordinate pair identifies a point in the third quadrant of the coordinate plane?

Answers

Answer:

-,-

Step-by-step explanation:

the y axis is negative and the x axis is also negative

hope this helps

To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.

Answers

Answer:

y = 2(8-x)

Step-by-step explanation:

you just swich around the numebers and the( ta da)

|7 – x| + |3x| when x = 2

Answers

Answer:

Answer= 11

Step-by-step explanation:

|7 – (2)| + |3 (2)|

|5| + |6| = 5 + 6 = 11

Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________

Answers

Answer:

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Step-by-step explanation:

Relevant data provided as per the requirement of question is shown below:-

M(c,d)is a midpoint of PQ

PM = MQ

The expression for PM to find an expression for PQ is shown below:-

Where,

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Which is equals to MQ

and

[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

For more clarification, the diagram has been presented below:-

I______I______I

P           M          Q

(a,b)     (c,d)


What is the value of m in the equation {m- n = 16, when n = 8?




Answers

Answer:

m=44

Step-by-step explanation:

Answer:

m=44

Step-by-step explanation:

Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.

Answers

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

James earns $8.75 per hour working at the Kroger after school. He needs at least $250 for an iPhone. Write and solve an inequality that describes how many hours James must work to buy the iPhone.

Answers

Answer:

29 hours

Step-by-step explanation:

$250: $8.75= 28.5. and you round that up to 29. cause 28 times 8.75 is $245. and that's below the amount that James needs

Solve for y
y - 5x = 11?

Answers

Answer:

y=16

Step-by-step explanation:

y = 11-5x

= 16

y = 16

this is the answer

xxxx delete answer xxxx

What is the distance formula

Answers

Answer:

the firdst image in the uper left corner

Step-by-step explanation:

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex]

[tex]\\[/tex]

Cheers!

Order of Operations

If the Order of Operations did not exist, how many

possible solutions can you find for this expression?

4 + 9 + 16 : 4 - 8 – 3 x 5

Answers

Given:

[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]

To find:

The number of possible solutions, if the Order of Operations did not exist.

Solution:

We have,

[tex]4 + 9 + 16 \div 4 - 8 -3 \times  5[/tex]

Now,

Case 1:

[tex][4 + 9 + 16] \div [4 - 8 -(3 \times  5)]=29\div (4 - 8 -15)[/tex]

[tex]4 + 9 + 16 \div  4 - 8 -(3 \times  5)=-\dfrac{29}{19}[/tex]

Case 2:

[tex][4 + 9 + 16] \div  (4 - 8 -3) \times  5=29\div  (-7\times 5)[/tex]

[tex]4 + 9 + 16 \div  (4 - 8 -3) \times  5=-\dfrac{29}{35}[/tex]

Case 3:

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=4+9+4-8-15[/tex]

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=-6[/tex]

Many more possibilities are there.

Therefore, there are more than 3 possible solutions.

Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.

Answers

Answer:

y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude

find three consecutive even integers whose sum is 54

Answers

17, 18, 19

17+18+19=54

The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall

Answers

Answer:

3.98964 inches

Step-by-step explanation:

We are given;

Mean; μ = 4 inches

Standard deviation; σ = 0.01 inch

Probability = 15% = 0.15

Formula to calculate z-value is given by;

z = (X - μ)/σ

Now, since we are given the probability to be below 0.15,thus;

From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.

Thus, plugging in the relevant values into the z score equation gives;

-1.036 = (x - 4)/0.01

Cross multiply to give;

-0.01036 = x - 4

x = 4 - 0.01036

x = 3.98964 inches

Find two rational numbers between -1 and 0

Answers

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

1+cosx/1-cosx=tan^2x/(sec^2-1)^2

Answers

Answer:

Take a look at the attachment below

Step-by-step explanation:

simplify (-4x^5)(4x^2)

Answers

Answer:

-16x^7

Step-by-step explanation:

Multiply -4 by 4 and x^5 by x^2:

(-4)(4)(x^5)(x^2) = -16x^7

Answer:

14

Step-by-step explanation:

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