A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. Use the function h(t) = −16t2 + v0t + h0, where h(t) is the height of a golfball hit with initial vertical velocity v0 from initial height h0 after t seconds in the air, to find the time at which the golfball will hit the ground. after 4 s after 5 s after 3 s after 6 s

Answers

Answer 1

Answer:

It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.

The ball hits the ground at t= 4 seconds that is it's distance from the ground is  zero meters.

Step-by-step explanation:

h(t) = −16t2 + v0t + h0

Putting the values

Initial velocity = V0 = 64m/s

time = 4, 5,3,and 6 seconds

initial height = h0 = ground level= 0 m

h(t) = −16t2 + v0t + h0

h(4) = −16(4)2 + 64(4) + 0

h(4)= 0m

h(t) = −16t2 + v0t + h0

h(5) = −16(5)2 + 64(5) + 0

h(5)= - 400 + 320= -80m

h(t) = −16t2 + v0t + h0

h(3) = −16(3)2 + 64(3) + 0

         = -144+ 192= 50m

h(t) = −16t2 + v0t + h0

h(6) = −16(6)2 + 64(6) + 0  

       = -576+ 384= -192m

It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.

The - ( negative) sign at different times shows that the ball may follow a path  lower than the ground level.

The ball hits the ground at t= 4 seconds that is it's distance from the ground is  zero meters.


Related Questions

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
6:1
18:3
3:18
1:6

Answers

18 acorns to 3 squirrels so 18:3 when reduced it’s 6:1

Answer:

1/6

Step-by-step explanation:

Suppose that you need to buy some chicken for dinner tonight. You found an ad showing that a store across town has chicken on sale for $2.99 per pound. Your usual neighborhood store sells the same chicken for $3.79 per pound. You are considering whether it is worth the drive to purchase the chicken from the store across town. Information you will need:________
A. You need to purchase 3 pounds of chicken
B. Your neighborhood store is 2.1 miles away and takes about 8 minutes to get there
C. The store across town is 8.6 miles away and takes about 24 minutes to get there
D. Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon

Answers

Answer:

C). The store across town is 8.6 miles away and takes about 24 minutes to get there.

D). Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon.

Step-by-step explanation:

The information regarding the distance of the store across town from the house, the time required to reach there, the average of the car, and the cost of gas per gallon would assist in calculating if the extra drive is worth buying chicken from the city store.

Cost of chicken in the city store - $2.99 per pound

Average of the car in 1 gallon = 22miles

so, the average of the car in 1 mile = 1/22

Cost of traveling 8.6miles = 8/22 * $3.05

                                           = 24.40/22

Additional cost = $ 1.109

Total cost of buying chicken from the city store = $2.99 + $1.10

                                                                                = $4.09

Hence, it is not worth to buy the chicken from the store across the town as it is costlier in comparison to $3.79 in nearby store.

The Lopez Family meets with a financial planner who advises them to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Lopez family save each month for future college expenses?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

$1281.00

Step-by-step explanation:

8540*15%=1281

i cant figure out what 8 1/2-3/5 is equals

Answers

Answer:

7.9 or 7 9/10

Step-by-step explanation:

The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.

Please help, I will mark first correct answer brainliest.

Answers

Answer:

The longest side length b is approximately 13.172 cm

Step-by-step explanation:

The given parameters are;

The area of the triangle = 22.4 cm²

The given angles of the triangle = ∠97°

The given side of the triangle = 3.7 cm

The formula for the area of a triangle, A = 1/2 × a × b × sin(C)

Where;

a, and b are the side legs forming the angle C

Therefore,  we have;

A = 22.4 = 1/2 × 3.7 × a × sin(97°)

a =  22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199

a ≈ 12.199 cm

Therefore, by cosine rule, we have;

b² = a² + c² - 2 × a × c × Cos(B)

Substituting the values, gives;

b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)

b² ≈ 173.507

∴ b ≈ √173.507 ≈ 13.172

b ≈ 13.172 cm

Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️

Answers

Answer:

good handwritting the first is 87

Step-by-step explanation:

what is y≤-3x-7 and y≥3/4x+8

Answers

Answer: (-4,5)

Step-by-step explanation:

Somebody please help me with this question I don’t get it :(

Answers

Answer:

The rental costs $2 per mile (third from top answer)

Reasoning:

The graph on the side follows the slops of y=2x (rise of 2, run of 1) , therefore at x=1, we know that the y value must be 2.

Meaning The third option (The rental costs $2 per mile) is the only

correct answer

I hope this helps you and good luck!

Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest

Answers

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

Step-by-step explanation:

use this on your problem

HURRY PLZ 20 POINTS AND BRAINLIEST TO FIRST CORRECT ANSWER For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs $7.17 before tax. If the sales tax is 5 percent, explain how to find the total cost for their dinner.

Answers

Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.

Step-by-step explanation:

Simplify the expression by combining like
terms:
2m2 - m + 4m2 + 8m
Enter the number that belongs in the green box.
[?]m2 + []m

Answers

Answer:

Step-by-step explanation:

2m^2-m+4m^2+8m combine like terms

6m^2+7m

Answer:

15m

Step-by-step explanation:

2m²-m+4m+8m

2m•2m-m+4m+8m

4m-m+4m+8m

3m+12m

15m

I NEEDA KNOW IF IM RIGHT , IDK HELP

Answers

Answer:

CD and DE are perpendicular because their slopes are -1/3 and 3

Step-by-step explanation:

Perpendicular lines will always have the opposite reciprocal.

If roots of a quadratic equation are real and equal, then which of the
following options is true?

Answers

Answer: where are the options??

Step-by-step explanation:

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can help so I can come back and check it later

Answers

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

im really bad at math, can anyone help?

Answers

Answer:

yeah sure

Step-by-step explanation:

10 plus 10 30 times 30

Answers

Answer:

10+10=20    

30x30= 900

Step-by-step explanation:

Answer:

900 plus 20 so

Step-by-step explanation:]

answer is 920

Which of the following values are solutions to the inequality 9 > - 3 - 4x

Answers

Answer:

the answer is 12

Step-by-step explanation:

Answer:

x>−3

Step-by-step explanation:

Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 10) degrees. At the intersection of lines b and f, the bottom left angle is (3 x minus 15) degrees. What is the value of x? 1 5 25 37

Answers

Answer:

The Answer would be C

Step-by-step explanation:

Answer: It is C. 25

Step-by-step explanation:

on edge 2020

2,11,20 find the t15

Answers

Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

[tex]t_{n}[/tex] = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128

please complete it (picture)

Answers

Answer:

Look at step-by-step

Step-by-step explanation:

I hope this is right. Good luck!

1)

Area: 250          

Perimeter: 120

2)

Area: 2530

Perimeter: 270

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

y = mx + b

m = slope = 2

b = y-intercept = -2

Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.

Answers

Answer:

The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs

The second term of a sequence is 13. The term-to-term rule is ' Multiply by 2 then subtract 3'. What is the first term of the sequence?


23
-23
-8
8

Answers

Answer:  multiply

Step-by-step explanation:

jus 45 multiply by 67

What is the value of x?

Answers

23 is the correct answer

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

3 pounds of peanuts for 7.50 how much per pound?

Answers

Answer:

$2.50

Step-by-step explanation

7.50 divided by 3 is 2.50

Answer:

$2.50 per pound

Step-by-step explanation:

7.50/3

$2.50

Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.

Answers

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

The sum of three numbers is 123. The third number is 3 times the second. The second number is 8 less than the first. What
are the numbers?

Answers

Answer
Do I show my work?
Explanation

Solve the equation for y.
3x + jy= 7

Answers

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

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