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
makvit [3.9K]
3 years ago
13

A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 1

6t + 2 models the relationship between the height of the rocket and the time after launch, t. In seconds. Which is the maximum height meters the rocket will reach Round to two decimal places Provide your answer below: meters
Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

f(t) = 15.06 m

Step-by-step explanation:

The relationship between the height of the rocket and the time after launch, t. In seconds is given by :

f(t) = - 4.9t ^ 2 + 16t + 2

We need to find the maximum height the rocket will reach the ground.

When it reaches the ground,

f(t) = 0

So,

Maximum height,

f'(t) = 0

-9.8t+16=0\\\\t=\dfrac{16}{9.8}\\\\t=1.63\ s

Put t = 1.63 in equation (1).

f(1.63) = - 4.9\times (1.63 ^ 2) + 16(1.63) + 2\\\\=15.06\ m

So, the maximum height of the rocket is 15.06 m.

You might be interested in
Given that (-4,2) is on the graph of f(x) find the corresponding point for the function -1/2f(x)
Aleks [24]

Answer:

The corresponding point is (-4.-1)

Step-by-step explanation:

we know that

The point (-4,2) is on the graph of f(x)

so

For x=-4

f(x)=2

therefore

For x=-4

-(1/2)f(x)=-(1/2)*2=-1

The corresponding point is (-4.-1)

8 0
3 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}

Mean is represented by the following expression:

\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}\text{Mean}=\frac{84}{10}=8.4

Population variance formula looks like this:

\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}

Then, substituting:

\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}

For the standard deviation:

\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}

5 0
1 year ago
Find two rational numbers between -1,36 and -1,35​
Tasya [4]

Step-by-step explanation:

-1,355= -1355/1000

-1,352= -1352/1000

8 0
3 years ago
The area of Lake Victoria in Africa is 26,828 square miles. The area of Lake Michigan in the U.S. is 22,539 square miles. Solve
Artyom0805 [142]
X= 4,289 Just subtract 26828 and 22539
7 0
3 years ago
(6.253•10^-2)(7.112x10^3) in scientific notation
zlopas [31]

Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

7 0
3 years ago
Other questions:
  • Cuanto es 5/12 X 4/20
    11·1 answer
  • 15 Points Help Math question
    8·1 answer
  • ANSWER FAST PLZZZ Which polygons are congruent? Select each correct answer. Two right scalene triangles labeled D E F and P Q R.
    15·2 answers
  • Your Co. collects 50% of its sales in the month of the sales, 30% of the follow month, and 20% the second month after the sale.
    5·2 answers
  • Graph each quadratic equation using a table of values. Identify all key characteristics.
    5·1 answer
  • Can somebody help me
    8·1 answer
  • Help me with this!!
    14·1 answer
  • Asap help 100 points
    5·2 answers
  • Solve the quadratic equation 3x2 -5x - 7 = 0 to 3sf
    9·1 answer
  • What is the difference of the polynomials?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!