A toy rocket lifts off at an initial velocity of 102 feet per second from a height of 10 feet. The height of the rocket can be modeled by the equation h = – 16t2 + 102t + 10, where ‘t' is the time in seconds. When will the rocket hit to the ground?

Answers

Answer 1

Answer:

6.47secs

Step-by-step explanation:

Given the height of the rocket modelled by the equation;

h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds

The rocket will hit the ground at h = 0

Substitute into the equation

– 16t^2 + 102t + 10 = 0

Multiply through by -1

16t^2-102t-10 = 0

t = 102±√(102)²-4(16)(-10)/2(16)

t = 102±√10404+640/32

t = 102±√11044/32

t = 102 ±105.09/32

t = 102+105.09/32

t = 207.09/32

t = 6.47secs

Hence it will take 6.47secs for the rocket to hit the ground


Related Questions

What does 13÷1722 equal to and the Remainder?

Answers

Answer:

132 and 4 is the remainder

Step-by-step explanation:

one more thing its 1722÷13 not that cause if that is the question the answer is 0

13/1722 ~ 0.007549361

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. Show all work.

A) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6

B) 1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2 - 3n - 1)/2

For the given statement Pn, write the statements P1, Pk, and Pk+1.
C) 2 + 4 + 6 + . . . + 2n = n(n+1)

Answers

Answer:

34v

544

888

00-

9-

✨✨ Easy points for people who are good at finding slope! ✨✨

Answers

Considering that all quadrilaterals are squares. When x varies 1 unity, y varies 5 units. So the slope is 5.

Answer:

the answer is D

Step-by-step explanation:

slope=rise÷run

from point A to B 1 right and 5 up, so both are positive

rise is up or down

run is left or right

slope=5÷1=5

so the answer is D

OMG PLEASE HELP!! DONT ANSWER IF YOU DONT KNOW ;-;

Which statement is true


-5.3 > 3.5
-2 > -2.6
- 7.09 < -7.10

Answers

-2 is greater than -2.6 is the answer

omg please help me im literally dying

Answers

Answer:

(-2,3)

Step-by-step explanation:

Multiply -3x+4y=18 with 2:

-6x+8y=36

Add -6x+8x=36 and 6x+2y=-6

10y=30

y=3

So y=3 we can replace y with 3 on any of these two equations:

6x+6=-6

Move the 6 to the other side:

6x=-12

x=-2

So the solution is

(-2,3)

Hope this helps

6x18 - 18x12 + 36x15

Answers

Answer:

432? I cannot tell if x is multiplication or a variable

Step-by-step explanation:

Answer:

6*18=108

18*12=216

36*15=540 so 216+540 addition first then subtracting so 215+540=755-180=575

Identify the next three terms of the sequence below:
-6, -10, -14,...

Answers

Answer:

-18, -22, -26, -30

Step-by-step explanation:

add negative 4 each time

x/3 + 1/3 = -1/2

how do i solve for x?

Answers

Answer:

x=−5/2or

Decimal Form:

x=−2.5

Explanation

What is the area of the circle? *
4 yd
12.56 square yards
25.12 square yards
50.24 square yards
200.96 square yards

Answers

Answer:

The answer is 50.26548 which can be rounded to 50.24 therefore that being the answer.

e1xpress the given statement in the form of expression.



​ 5 subtracted from three times any number.

Use x to represent any number.​


​The expression to represent the above statement is

Answers

Answer:

3x-5

Hope it Helps!!

.................

Joe has eaten 3/5 of a pizza. Jane has eaten 1/6 of a pizza.
How many times more pizza has Joe eaten than Jane?

Answers

Answer:

3.6

Step-by-step explanation:

i need help pleases and thanks

Answers

Answer:

associative

Step-by-step explanation:

hope dis helps

Option 1 commutative hope this help

there are 24 students in Ms. Woodall's class. 1/2 of the students are boys. 1/3 of the boys have brown hair. what is the number of boys in Ms. woodall's class who have brown hair?

Answers

4 boys have brown hair

Answer:

4

Step-by-step explanation:

1/2 of 24=12

1/3 of 12=4

I need a little help

Answers

Answer:

A)  x = 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]

so in this problem the leg is 8 and the hypotenuse is 8[tex]\sqrt{2}[/tex]

please help me on this question... please!

Answers

Answer:

(-1,3)

Step-by-step explanation:

[tex] - x + 2 = 3x + 6[/tex]

[tex] - x - 3x = 6 - 2[/tex]

[tex] - 4x = 4[/tex]

[tex]x = - 1[/tex]

[tex]y = - ( - 1) + 2 = 3[/tex]

supppose v varies direcly as g, and v= 36 when g=4. Find v when g =11

Answers

Answer:

v = 99

Step-by-step explanation:

Given v varies directly as g then the equation relating them is

v = kg ← k is the constant of variation

To find k use the condition v = 36 when g = 4 , then

36 = 4k ( divide both sides by 4 )

9 = k

v = 9g ← equation of variation

When g = 11 , then

v = 9 × 11 = 99

Nathan usually drinks 36 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking 64 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

78 percent

Step-by-step explanation:

percent increase = (64-36)/36 ×100

= 28/36 ×100 = 0.78×100= 78

Solve 7(f-5) = 28
Help meeeee

Answers

7f - 35 = 28
7f = 63
F = 9

Answer:

7(f-5)=28

f-5=28/7

f-5=4

f=9

what is 3.33333333333 as a whole number?​

Answers

3.33333333 as a whole number is 3

What is the slope of y= 6x + 6?

Answers

Answer:

6

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

6

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= always by itself (in slope-intercept form)

m= the slope (in this case, 6)

x= the letter that the slope is always next to

b= the y-intercept

Hope this helps you out and have a nice day ❤

I really need help i can not figure out these blanks can someone help?

Answers

The fractions are 3/4 and 4/4 I’ll comment the columns

Answer:

table: 3/4, 1

the ratio is 1 to 4

the ratio is 3 to 4

the ratio is 4 to 4

What is the greatest common factor of 7, 35, and 28?

Answers

Answer:

7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

Which graph shows a solution of approximately (1.2, -1.3)

Answers

Answer:

D

Step-by-step explanation:

Tell whether each statement about the expression 5y + 9 is True or False

The number 5 in the expression is a constant.
The expression has one variable term.
The variable in the expression is y.
The number 5 is not a coefficient in the expression.
The expression has three terms.

Answers

Answer:

1st one is false

the second one is true i think ;-;

3rd is true

4th is false

5th is also false i think

Step-by-step explanation:

I need some help with two problems

Answers

Answer:

24) x = 16

I am not sure about #25

why is my food yellow

Answers

Answer:

well what are you eating?

Step-by-step explanation:

Answer:

bc I peed on it and bc of my stretchy cheese!!!!!!

Step-by-step explanation:

The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?

Answers

Answer:

Step-by-step explanation:

Between what 2 consecutive numbers does the square root of 15 fall?

1. 15
2. 4
3. 16
4. 3
5. 14
6. 2
7. 5

Answers

Answer: In between 3 and 4

Step-by-step explanation:

Brainliest pllllzzzzz

in between 3 and 4!

BRAINLIEST PLEASE!!

A blueprint of a house has a scale of 1 in = 6 ft. the living room has dimensions (width x length) of 18 ft by 24 ft. What are the dimensions on the blueprint of the living room? (use 2 different proportions; one for width and one for length)



a
w = 108 in, l = 144 in
b
w = 3 in; l = 4 in
c
w = 3 in; l = 144 in
d
w = 3 in; l = 4 in

Answers

I would say the answer is w = 3 in; l = 4 in

Other Questions
help answer all these plsif so u get brainlyestPLS HURRY graph the line that passes through the two points then find the slope of the line (-3,-3)(1,1) The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers? We turned to go, but then Miz Thomas said, "That Mitchell, he done somethin'? He in trouble?""We just want to talk to him, Edna," Hammond assured her. Still, though, as we rode away, I saw Miz Thomas frown, and young as I was, I knew she was worried. She was worried because my brothers had come. My brothers had come asking about Mitchell, and my brothers were white.The Land,Mildred D. TaylorBased on the novels historical context, what causes Miz Thomas to frown? This diagram represents the cell cycle. When cells leave the cell cycle, they exit during G1 phase and then enter G0 phase, a resting period. Most normal cells can leave G0 phase and reenter the cell cycle at G1 phase before entering S phase. Cancer cells are different because they cannot enter G0 phase and are likely to do which of the following? A Fail to complete S phaseB Continuous unregulated cell divisionC Mutate during G phaseD Die after completing mitosis Choose the option that best matches the description given.The idea that a healthcare practitioner should "first, do no harm" is called...professionalismnon-malfeasancecompetency How is today's rhinoceros similar to the triceratops dinosaur of long ago? How is it different? In the triangle below, x= cm round to the nearest tenth When using the Mirror command you can delete the source object as the last step of the command. True or false In a good hit, a baseball and bat are in contact with each other for about 1 millisecond. In the first game of the 2012 World Series, Tigers pitcher Justin Verlander threw a 100-mph pitch to the Giants' Pablo Sandoval. Sandoval's hit returned the ball directly back at Verlander at 70 mph. Calculate the average force of the bat on the ball, during the contact. Round the final answer to the nearest whole number. How do isotopes differ from other atoms? Pls help me this was due a long time ago Pls show me the work or how u got it When one nation attempts to spreadits religion to another, this is referredto as what?A. militaristic imperialismB. social darwinismC. cultural superiorityD. materialistic trade Write a short note on oxygen gas OMGGG PLS HELP LAST QUESTION DUE RN!!!!!IM IN CLASSSS OMG 2Simplify the expression by combining like terms.2x + 4y + 6 + 2y - 5+ 3x evaluate functions g(0)=-x-2 A student is given a sample of matter and asked to determine whether it is an element. Based on this quotation, you can conclude that Tecumseh thinks American Indians should try to cooperate with the United States. the United States will eventually destroy the American Indians. American Indians will crush the United States in battle.