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
Ksivusya [100]
3 years ago
15

3. A model rocket is launched from the ground with an initial velocity of 352 ft/sec.

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

e. It will take 11 seconds to reach the maximum height of 1,936 feet.

f. It will take 22 seconds to return to the earth.

Step-by-step explanation:

Given:

Initial velocity v_0 = 352 ft/sec

Solving for question e.

To find the time required to reach the maximum height we will use the formula,

h(t) = -16t^2+v_0t+h_0,

where v_0 is the starting velocity

h_0 is the initial height.

Using the velocity and starting height from our problem we have,

h(t) = -16t^2+352t+0,

The path of this rocket will be a downward facing parabola, so there will be a maximum.

This maximum will be at the vertex of the graph.

To find the vertex we start out with x= \frac{-b}{2a} which in our case is,

x=\frac{-352}{2(-16)}=\frac{-352}{-32}= 11

So, It will take 11 seconds for the rocket to reach its maximum height.

We will find maximum height using the formula by substituting value of t we get,

h(11)=-16(11^2)+352(11)+0\\h(11) = -16 \times121+ 352 \times 11 = -1936+3872= 1936 \ ft

Hence the maximum height will be 1936 \ ft

Now Solving for question f.

To find the time required for rocket to reach earth.

We will set our formula to 0 to find the time.

0= -16t^2+352t+0\\-16t(t-22)=0

Using the zero product property, we know that either -16t = 0 or t - 22 = 0.  When -16t = 0 is at t = 0, when the rocket is launched. t - 22 = 0 gives us an answer of t = 22.

So the rocket reaches the Earth again at 22 seconds.

You might be interested in
Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
weeeeeb [17]

Answer:

Adjacent

x = 14

Step-by-step explanation:

Find the diagram attached

Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.

The sum of angle on a straight line is 180 degrees, hence;

5x + x+ 96 = 180

6x = 180 - 96

6x = 84

x = 84/6

x =14

The value of x s 14

8 0
2 years ago
How to find the asymtope of a function
Darya [45]
Asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.
3 0
2 years ago
The ratio of the length to the width of a picture is 5:2. The picture is enlarged so that its length is 15 inches now. What is t
Maru [420]
The answer is B.
The ratio is multiplied by three so 5 times 3 is 15 and 2 times 3 is 6.
8 0
3 years ago
If x = -4, calculate 2x squared - 5
Varvara68 [4.7K]
You just substitute the value of x in the given equation:


f(x) = 2x^2 - 5

f(-4) = 2 (-4)^2 -5 = 27

f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.
5 0
3 years ago
#16 and #19 only <br> Please answer both as soon as possible.
Vlad1618 [11]

Answer:

1. it is not a direct variation because the value <em>k</em> is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our <em>k</em> value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value <em>k</em> was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0
3 years ago
Other questions:
  • How to solve (5/6-1/6)-1/12
    7·1 answer
  • A system equation shown below:
    9·1 answer
  • Show all steps used to solve the problem 4x+6&lt;-6
    12·1 answer
  • Can you help me with this please???
    6·1 answer
  • The ratio of plates to napkins is 3:18. write the ratio in the simplest form
    15·1 answer
  • Graph the linear equation. Find three points that solve the equation, then plot on the graph.
    8·2 answers
  • An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional
    12·2 answers
  • Can u guys help plz I will give the first person who answers brainliest
    7·2 answers
  • Which expression is equivalent to 13 22b
    6·1 answer
  • I really need help can you help me plsssss
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!