A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=−4.9t2+15t+10, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest point? Round to two decimal places.

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the highest point we use t = -b/2a (because that's the equation used to find the maximum of the function which is the maximum height the rocket reaches before heading back down ( aka highest point of the parabola at the turning point)

f(t)  = -4.9t^2 +15 +10

A = -4.9

B  = 15

C=10

Plug it in

-15/2(-4.9)   = 1.53 seconds

(In case you get confused 15 turns negative because b in the equation has a - symbol in front. If you had -15 as B you would put -(-15) making it positive)

Hope this is helpful

Answer 2

1.53seconds after launch, will the rocket reach its highest point.

What is height?

In mathematics, height is defined as the vertical distance from the top of an object to the bottom. Sometimes it is labeled as "height".

The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height is a way of measuring someone or something from the bottom to the top or from the head to the feet. In other words, height indicates how tall someone or something is. We can compare how tall we will be when we grow up. We often compare the average height of men and women in different countries.

Given:

f(t)=−4.9t2+15t+10

The vertex is the highest point of the function

when t= [tex]\frac{-b}{2a}[/tex]

          =[tex]\frac{-15}{2(-4.9)}[/tex]

          ≈ 1.53

f(t) is the maximum value

1.53seconds after launch, will the rocket reach its highest point.

To learn more about height, refer;

https://brainly.com/question/10726356

#SPJ2


Related Questions

Find the value of X in the equation below:
X/9 = 3.9

Answers

Answer:

35.1

Step-by-step explanation:

We can multiply both sides by 9 to get x=35.1

Step-by-step explanation:

x/9=3.9

x=3.9*9

x=35.1

if I multiply or divide by a negative number I must reverse the inequality sign.
true or false

Answers

Answer:

True

Step-by-step explanation:

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.​

Answers

Answer:

[tex]SA=61.26\ \text{inches}^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where

r is radius and h is height of the cylinder

We have, h = 5 inches and r = 3/2 = 1.5 inches

Put all the respected values.

[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]

So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].

Answer:

Answer: 61.23 / {I'm right trust me Acellus 2022}

Step-by-step explanation:

how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches

What’s the most common Multiple for 3 and 5

Answers

Answer:

should be 15...

Step-by-step explanation:

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Trevor wants a life insurance policy with a cash feature and one he can change the death benefits of without having to get a new policy. What type of policy best fits this scenario

Answers

Answer:

un death somthing

Step-by-step explanation:

Houa has an action figure collection. She keeps some in a display case and the rest on
the wall. 82 of her action figures are on the wall, and 59% of her action figures are in the display case. What is the total number of action figures in Houa's collection?

Answers

Answer:

200 action figures

Step-by-step explanation:

Given

[tex]Wall = 82[/tex]

[tex]Display\ Case = 59\%[/tex]

Required

Total action films

If 59% is on a display case, then 4!% is on the wall. Let the total be x.

So, we have:

[tex]Wall = 41\% * x[/tex]

Substitute 82 for Wall

[tex]82= 41\% * x[/tex]

[tex]82= 0.41 * x[/tex]

[tex]200= x[/tex]

[tex]x = 200[/tex]

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
2021 McGraw-Hill Education. All Rights Reserved
O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers

Answers

Your numbers are 11 and 32

We know that:
a + b = 44
and
a = 3b

If we substitute “3b” in for a in the first equation, we get a numerical value for b

3b + b = 44
4b = 44
b = 11

Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33

The sum of - 6a and 7a is - 31

Answers

Answer:

a = -31

Step-by-step explanation:

According to the question,

-6a + 7a = -31

a = -31

Help me with this question
Please I need help

Answers

Answer:

384 cm²

Step-by-step explanation:

The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.

To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:

For parallelogram:

Height (H) = 7.5 cm

Base (B) = 24 cm

Area of parallelogram (A₁) =?

A₁ = B × H

A₁ = 24 × 7.5

A₁ = 180 cm²

For rectangle:

Length (L) = 24 cm

Width (W) = 8.5 cm

Area of rectangle (A₂) =?

A₂ = L × W

A₂ = 24 × 8.5

A₂ = 204 cm²

Finally, we shall determine the area of the shape.

Area of parallelogram (A₁) = 180 cm²

Area of rectangle (A₂) = 204 cm²

Area of figure (A)

A = A₁ + A₂

A = 180 + 204

A = 384 cm²

Therefore, the area of the figure is 384 cm²

Two quantities are proportional if they vary and have a constant ratio or unit rate.
O True
O False
Please only answer if you know the answer

Answers

i think true but i could be so wrong

A bicycle tire of radius 0.40 m and mass 1.7kg is rotating at 62.9 rad/s.
What torque is necessary to stop the tire in 2.2 s?
Answer in units of N · m.
These are the last of my points, I have been scammed by people twice, someone please help me, this is actually physics but the scammers love physics.

Answers

T = taw

T = m r² ( w₂-w₁) / t

T = 1.7 × (0.40)² (0-62.9) / 2.2

T = 1.7 × 0.16 × -62.9 / 2.2

T = -17. 11 / 2.2

T = - 7.77 N.m

HURRY PLEASE!! I WILL GIVE BRAINLIEST

Answers

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

Answer:

25

Step-by-step explanation:

Someone please help me answer this!!

Answers

Answer:

4

Step-by-step explanation:

because 7=3+4, so x=4 to make it 7

You allowed to eat 11 bananas and you have already eaten 4. Find the possible amount of bananas you can eat today

Answers

Answer:

7

Step-by-step explanation:

11-4=7

11

-

 4

____

7

So 1-4 you cant do so you to the left number which is 1 take it back and now it is 11-4 you add 10 so then the left number you cant use anymore so then its 11-4 which is 7.

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

Area= 1/2bh

= 1/2 ( 16)(6)

=48 square yard.

Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?

Answers

Answer:

Step-by-step explanation:

(1 3/5)/(2/5)

(8/5)/(2/5)

(8/5)(5/2)

40/10

4

1 3/5 = 8/5
2/5x4 =8/5
It is 4 cups

What does X and Y equal?

Answers

Answer:

X= 67

Y= 6

Step-by-step explanation:

Triangle TRU is an equilateral triangle which means all sides are equal.

Triangles sum up to 180°.

180/3= 60

60+7= 67

x=67

Triangle TRS is an isosceles triangle which means it has two equal sides.

Triangles sum up to 180°.

180-60= 120

TRS= 120°

60/2= 30°

RTS=  30°

RST=  30°

30/5= 6

y= 6

What do all rhombuses have in common

Answers

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. 

All rhombuses have equal sides and diagonals that bisect each other at right angles.

We have,

All rhombuses have the following characteristics in common:

- Equal Sides:

A rhombus is a quadrilateral with all four sides of equal length.

Each side of a rhombus has the same measurement.

- Opposite Angles are Equal:

The opposite angles of a rhombus are congruent (equal in measure). This means that if we label the angles A, B, C, and D in a clockwise or counterclockwise direction, then angle A is congruent to angle C, and angle B is congruent to angle D.

- Diagonals Bisect Each Other:

The diagonals of a rhombus are perpendicular bisectors of each other. This means that the diagonals intersect at a right angle, and they divide each other into two equal halves.

- Diagonals are Equal in Length:

The two diagonals of a rhombus are of equal length. If we label the endpoints of the diagonals as E, F, G, and H, then EF = GH.

Thus,

All rhombuses have equal sides and diagonals that bisect each other at right angles.

Learn more about Rhombus here:

https://brainly.com/question/27870968

#SPJ6

Find a.
Round to the nearest tenth:
27 cm
102°
28°
a = [? ]cm

Answers

have you got this yet ??

Answer:

44.1

Step-by-step explanation:

What is 9/10 as hundredths in fraction form and decimal form?

Answers

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

9*10           90

------    = ------------

10*10          100

9/10   = 90/100

The decimal form for 9/10  is .9  and for 90/100 is .90

Helppppppp show your work

Answers

Answer:

No solution

Step-by-step explanation:

x+5x+4=3(2x-1)

First off, rearrange:

6x+4=6x-3

The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.

eight hundred four thousand seventy-3 in standard form​

Answers

Answer:

1/607645423000

Step-by-step explanation:

Answer:

804,067

Step-by-step explanation:

804,070 - 3 = 804,067

i need help. i don't understand ​

Answers

Answer:

The 20-count batteries have a lower unit price of $0.76 per battery

Step-by-step explanation:

Unit price means how much does it cost if you buy one of the item. To calculate this take the amount of money it cost and divide by the amount of object you have.

In the case of this question we know that you can buy 8 batteries for $6.16 and 20 batteries for $15.20. Let's find the unit cost (how much for one battery) for each of these packs. To calculate that we can take $6.16/8 batteries = $0.77 per battery for the 8 pack and $15.20/20 = $0.76 per battery for the 20 pack. Therefore, the 20-count batteries have a lower unit price of $0.76 per battery.

Am I doing this right?

Answers

Answer:

Yes you are

You very much are doing the right thing

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

The question above...

Answers

Answer:

I think that its C

Step-by-step explanation:

I think it might be c because the two smaller(11,7) sides must add up to be longer than the longest side(18).And it would be the same length as the longest side,which means you wont be able to construct the triangle. (Eh my explanation wasnt that good but it is what it is)

Answer:

the answer I would say is ether B or C

Step-by-step explanation:

hope that helps

Other Questions
Please help me! I dont need a translation, the directions are on the picture. Please!!! Injecting a person with an excitatory chemical that activates the sympathetic nervous system is likely to increase his or her subjective experience of intense fear and anxiety. Use one of the major theories of emotion to account for the effects of this chemical on a person's emotional state. Which theory of emotion would have the greatest difficulty explaining these effects Make u the subject of the relation.1.wx+yz=uv-2wx briefly explain the importance of developing a study plan If triangle ABC is an equilateral triangle with sides of 12 ft , and points X,Y, and Z are the midpoints of each side , find the perimeter of triangle XYZ. Based on paragraph 1, the reader can infer or predict that the speaker will Which is a possible consequence of decreasing air quality resulting from global warming? Find the product.(-432)2 What should be added to both sides of the equation below to complete the square?x?+ 6x = -8O-4O-2O-909 Make a list of some possible problem which you would face if you were living alone out from the society? How do paragraphs 8-10 contribute to the development of ideas in the article? Please help?? PWEASE PWEASE PWEASEDescribe how you would draw a diagram that shows the electric field between two particles that attract each other. Match the cause for the negatively sloped aggregate demand curve with the correct term. 1. As prices rise, the cost for businesses to finance new equipment increases, causing a drop in quantity demanded of real GDP. 2. The purchasing power of money held in savings accounts falls as prices rise. 3. As prices rise in the United States, foreigners purchase fewer U.S. goods.OPTIONS:a. The Aggregate Demand Effectb. The Wealth Effectc. The Interest Rate Effectd. The Export Effect Can someone please help me its very important please ASAP Which of the following uses electrical energy?The sunA washing machineA catA plant If a=.3 and b=.5, what is the value of a=b ? kan yall help it 6th grade work I need help fast I will give brainliest What is the center of the circle x2 + y2 - 13x 22 =0 PLZ HELP ME WILL GIVE BRAINLIEST.Revising and editing require you to focus on different things. What are some good strategies for editing a reflective essay?