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
Lubov Fominskaja [6]
4 years ago
5

WILL GIVE BRAINLIEST A rocket is launched vertically from the ground with an initial velocity of 64. Write a quadratic function

that shows the height, in feet, of the rocket t seconds after it was launched. Graphon the coordinate plane.

Mathematics
1 answer:
tiny-mole [99]4 years ago
6 0

Answer:

h=64t-4.9t^{2}

Please refer to the attached graph.

Step-by-step explanation:

Given that

Initial velocity of rocket = 64 and is launched vertically.

To find:

Quadratic equation in time to represent the height of rocket in feet.

Solution:

Unit of initial velocity is not given in the question statement, let the velocity be in feet/second only.

Initial velocity, u  = 64 feet/s

The acceleration will be = -g because it is going opposite to gravitational force so it will be negative acceleration motion (speed will be decreasing) so -g will be the acceleration.

Formula for distance traveled is given as:

s=ut+\dfrac{1}{2}at^2

Here Let us represent s by 'h'

a = -g = 9.8 m/s^2

Let us put the known values in the formula:

h=64t+\dfrac{1}{2}(-9.8)t^2\\\Rightarrow h =64t-4.9t^2

It is a quadratic equation, the equation represents the graph of a parabola.

Please refer to the attached graph.

Value of height is 0 at 0 second and ~13 seconds

You might be interested in
Who wants to text back and forth pls add me
Julli [10]

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

8 0
3 years ago
Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x,
Andrei [34K]
If he does three hours, its 9 strips, for four, its 12, six is 18, seven is 21, and nine is 27
7 0
3 years ago
Solve the equation for z^3-z^2-12z=0<br><br> The solutions are z=?, z=?, and z=?
Assoli18 [71]

Answer:

z is equal to 0,4, and -3

Step-by-step explanation:

3 0
3 years ago
Which graph represents the solution set of the system of inequalities? {x+y&lt;12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

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

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
3 years ago
Read 2 more answers
Question: find the value of x.<br><br><br> CAN someone please help me please explain!!
ELEN [110]

Step-by-step explanation:

Sum of interior angles of a polygon is given by (n-2)180°

where,n is the number of sides.

Since this polygon has 5sides,

sum of the interior angles = (5-2)180°=540°

x+150°+120°+75°+60°=540°

x°=540°-405° = 135°

7 0
3 years ago
Other questions:
  • The radius of a circular sign is 12 12 inches. Equal parts of the sign are painted red red and yellow yellow. How many square in
    5·1 answer
  • Can somebody explain this please
    14·1 answer
  • A rectangle's length is twice its width. if the perimeter is 120 cm, find the width of the rectangle.
    8·1 answer
  • I need help????????????????????
    10·2 answers
  • The more of this there is, the less you see. What is it?
    15·2 answers
  • Given the function defined in the thble below, find the average rate of change, in
    10·1 answer
  • A certain fluid is not a liquid if its temperature above 140 C or below 0 C. Enter a compound inequality for the temperatura t w
    15·1 answer
  • Find the Quotient.<br> 1,382 divided 4
    12·1 answer
  • Please help me!!!!!!!
    11·1 answer
  • A parachutist jumped from an airplane at an elevation of 11,880 feet above the ground.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!