You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, h_o. How much time does your opponent have before the ball hits the ground on the other side of the net, h(t)? Use h(t) = -5t^2 + v_0t + h_0 where h(t) is the height of a tennis ball being hit h_0 is the initial height v_0 is the velocity in meters/second after time (t) in seconds

Answers

Answer 1

Answer:

here

Step-by-step explanation:

You Hit A Tennis Ball With An Initial Vertical Velocity Of 25 M/s. The Ball Leaves The Tennis Racket
Answer 2

Solving a quadratic equation, it is found that your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.

What is the quadratic equation for the ball's height?

It is given by:

[tex]h(t) = -5t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity of the ball.[tex]h_0[/tex] is the initial height of the ball.

You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, hence [tex]v_0 = 25, h_0 = 2[/tex].

Then, the equation is:

[tex]h(t) = -5t^2 + 25t + 2[/tex]

It hits the ground when h(t) = 0, hence:

[tex]-5t^2 + 25t + 2 = 0[/tex]

The solutions are h = 5.08 and h = -0.08.

Since time is a positive measure, your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.

More can be learned about quadratic equations at https://brainly.com/question/24737967


Related Questions


Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in

Answers

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²

Given tan theta = -2 and pi/2 < theta < pi; find cos2theta.
a. - 4/3
b.- 4/5
c. 3/4
d. - 3/5

PLEASE HELP ASAP

Answers

Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

Hi I have a question pls DON’T give a link

Answers

Answer:

5. x=11

6.x=9

Step-by-step explanation:

5. 8 x 3=24

264/24=11

6. 4.5 x 4= 18

162/18=9

Please help me this is due in 20 minutes!!!!!!!

Answers

Answer:

The two triangles are very similar by them both having the same kind of angles even though they are different in size, like, an acute angle.

I'm not sure if this helped or not hopefully it did good luck.

What is the total surface area ?

Answers

Answer:

The answer is 126.

Step-by-step explanation:

If you multiply 2*9 first, you get 18. Then multiply 18 by 7. The answer will be 126. I hope this helps.

may someone please help? thank you!

Answers

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]

[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?

A.
the critical value
B.
the number of favorable responses
C.
the standard error of the mean
D.
the standard deviation

Answers

Answer:

C.  the standard error of the mean

Step-by-step explanation:

You need the sample mean, sample proportion , and the standard error which depend on z or t, sigma or s, and n

Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant to his office. how far , and in what direction is his office from his home ?

Answers

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.

PLSSS HELP ME ASAPPPPPPP​

Answers

THE ANSWER IS B $115 plz mark me brainliest i want points :’)
the answer should be b :)

HELP PLEASE QUICK!!!!!

Answers

Answer:in what can I help

Step-by-step explanation:

Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)

Answers

Answer:

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

Assume:  б(Δ ABC ) =  б(Δ DEF ) and also AB ≅ DE

let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF  respectively

Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that

AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Please help me ASAP please

Answers

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

Which point is located in Quadrant ll? (-4,5) (-4,-5) (4,-5) (4,5)​

Answers

Answer:

(-4,5)

Step-by-step explanation:

that is the top left quadrant which means the x value has to be negative but the y value has to be positive

Need help with finding the mean (MATH 7th GRADE)

Answers

Answer:

mean = 49.25

Step-by-step explanation:

mean = sum of all the number ÷ amount of number

mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8

mean = 49.25

mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8

mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8

mad = 0/8

mad= 0

brainliest is appreciated

Use the shell method to compute the volume (CALCULUS HELP!!!)

Answers

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

if you have 10 gums and then you take out 5 how much will you have left

Answers

Answer:

10, cos gums can't be removed

Answer:

5

Step-by-step explanation:

this is a standard subtraction problem:

10 - 5 = 5

So you have 5 gums left

Please help me thanks! :)

Answers

Answer:

eyjdnfbhs

Step-by-step explanation:

Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But, does trust in Pinterest differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on Pinterest. Women Men Sample 150 170 Trust Recommendations Made on Pinterest 117 102 a. What is the point estimate of the proportion of women who trust recommendations made on Pinterest (to 2 decimals)?

Answers

Answer:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

[tex]p = \frac{117}{150} = 0.78[/tex]

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Please help me I am struggling

Answers

Answer:

924

Step-by-step explanation:

i multiply 14 by 11 and then by 6

Katie needs 3/4 cup sugar to make cookies. She only has 1/3. How much more sugar does Katie need?​

Answers

Answer:

I think it is 5/12 but might be wrong

Step-by-step explanation:

Subtracted 1/3 from 3/4

i need help! please and thank you

Answers

Answer:

[tex]20\pi[/tex] m

OR

62.8318531 m

Step-by-step explanation:

This is actually pretty simple

The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle

The formula for arc length is Angle in Radians x Radius

So pi/12 * 4 = pi/3 m

We know this is how much it travels every second so it is going at pi/3 m/s

One minute is 60 seconds

pi/3 * 60 = 20pi m

How many solutions does this system of equations have?

Answers

Answer:

this equation will have 2 solutions

It will be 2 solutions

Found on __, genes determine which __ your cells will make.

(Which word belongs in the blanks?)

Variants, Organism, structure, function, mutations, proteins, genes.

Answers

Found on organism, genes determine which protein your cells will make.

What is genes?

A gene is a fundamental unit of heredity that encodes the production of a gene product as a sequence of nucleotides in DNA.

Genes, which may be found on the organism, govern which protein your cells will produce.

Found on organism, genes determine which protein your cells will make.

Hence, organism,and protein are the correct answer.

To learn more about the genes, refer:

https://brainly.com/question/8832859

#SPJ2

Algebra 2
L.3 Multiply polynomials BGN

Answers

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

The Wells family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number

Answers

Answer:

4 gallons/1 day

Step-by-step explanation:

What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)

Creating the ratio: For the ratio, there is no given amount of which one needs  to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3

Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1

Which could be the function graphed below? ​

Answers

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

Find the area of the shape below

Answers

Answer:

2112

Step-by-step explanation:

100% sure

Can anyone please help me with this question?

Answers

Answer:

d

Step-by-step explanation:


Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.

C=s(3h+5)

C
= total cost
s
= number of pairs of ice skates
h
= number of hours

How much will it cost to hire 4 pairs of ice skates?

Answers

s = 4

h = 3

C = ?

C = s(3h + 5)

C = 4(3·3 + 5)

C = 4(9 + 5)

C = 4(14)

C = ?

ANSWER: It costs 56 dollars

Which of the following best describes the correlation coefficient of r = -0.09 ?

Answers

Hi! May you please comment the options
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