1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
13

A rocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground. which equation can be used to determine the

height of the rocket at a given time after the launch? (answer choices in picture)

Mathematics
2 answers:
Fed [463]3 years ago
5 0

Answer:

The correct option is the last option

h(t) = 28 + 85t -16t ^ 2

Step-by-step explanation:

The kinematic equation to calculate the position of a body on the vertical axis as a function of time is:

h(t) = h_o + v_ot - \frac{1}{2}gt ^ 2

Where:

h_0 = initial position = 28ft

v_0 = initial velocity = 85 ft / s

g = acceleration of gravity = 32.16ft / s ^ 2

Then the equation sought is:

h(t) = 28 + 85t - \frac{1}{2}32.16t ^ 2

Finally:

h(t) = 28 + 85t -16t ^ 2

The correct option is the last option

Arlecino [84]3 years ago
3 0

Answer:

h(t)=-16t^2+85t+28 is equation of height of rocket at given time after the launch.

D is correct.

Step-by-step explanation:

A rocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground

We have an equation of rocket launching.

h(t)=\dfrac{1}2gt^2+v_ot+h_o

Where, g is acceleration due to gravity

v is initial velocity

h is initial height

h(t) is function of height at any time t

A rocket is launched by 85 ft/s

V_o=85\ ft/s

g=-32\ ft/s

h_o=28

Substitute the value into formula ans get formula

h(t)=-16t^2+85t+28

Hence, D is correct. Equation of height of rocket at given time after the launch.

You might be interested in
Please help me if you know how to do this!
lukranit [14]

Question 21

Let's complete the square

y = 3x^2 + 6x + 5

y-5 = 3x^2 + 6x

y - 5 = 3(x^2 + 2x)

y - 5 = 3(x^2 + 2x + 1 - 1)

y - 5 = 3(x^2+2x+1) - 3

y - 5 = 3(x+1)^2 - 3

y = 3(x+1)^2 - 3 + 5

y = 3(x+1)^2 + 2

Answer: Choice D

============================================

Question 22

Through trial and error you should find that choice D is the answer

Basically you plug in each of the given answer choices and see which results in a true statement.

For instance, with choice A we have

y < -4(x+1)^2 - 3

-7 < -4(0+1)^2 - 3

-7 < -7

which is false, so we eliminate choice A

Choice D is the answer because

y < -4(x+1)^2 - 3

-9 < -4(-2+1)^2 - 3

-9 < -7

which is true since -9 is to the left of -7 on the number line.

============================================

Question 25

Answer: Choice B

Explanation:

The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16

Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.

Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.

5 0
3 years ago
The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i
Gelneren [198K]

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

Or,

x-28=0      =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

5 0
3 years ago
Slope = -1, y-intercept = 3
andreev551 [17]

what's the question pymp

5 0
2 years ago
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her
Sergio039 [100]

Answer:

I think it's 2000

Step-by-step explanation:

4 0
3 years ago
What is the right answer. PLEASW HELP. URGENT.
Elanso [62]
1099 square inches hope this helps
3 0
2 years ago
Other questions:
  • NEED HELP !!!!!
    10·1 answer
  • What is <br> 5 times 20/25
    12·2 answers
  • You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to
    12·1 answer
  • The sum of 5 consecutive integers is 505. what is the third number in this sequence
    7·2 answers
  • Solve this equation -98=7(n-7)
    14·2 answers
  • 1. If 31 – 7 = 51, then 61 =<br> A. 21<br> B. -7<br> C. -21<br> D. 42
    13·1 answer
  • One​ month, two search engines were used to conduct a total of 3.52 billion online searches. Search engine A was used to conduct
    12·1 answer
  • Graph the line: y= 1/3x-2​
    14·2 answers
  • wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100)
    10·1 answer
  • PLEASE HELP ME 20 POINTS PLEASE
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!