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
Lilit [14]
2 years ago
5

A rocket is launched straight up from the ground, with an initial velocity of 224 feet per second. The equation for the height o

f the rocket at time t is given by:
h=-16t^2+224t

(Use quadratic equation)

A.) Find the time when the rocket reaches 720 feet.


B.) Find the time when the rocket completes its trajectory and hits the ground.

Mathematics
2 answers:
JulijaS [17]2 years ago
6 0

A.) The rocket reaches 720 feet in 5 seconds and 9 seconds.

B.) The rocket completes its trajectory and hits the ground in 14 seconds

<h3>Further explanation</h3>

A quadratic equation has the following general form:

ax^2 + bx + c = 0

The formula to solve this equation is :

\large {\boxed {x = \frac{-b \pm \sqrt{b^2-4ac}}{2a} } }

Let's try to solve the problem now.

<h2>Question A:</h2>

Given :

h = -16 t^2 + 224t

The rocket reaches 720 feet → h = 720 feet

720 = -16 t^2 + 224t

16 t^2 - 224t + 720 = 0

16 (t^2 - 14t + 45 = 0)

t^2 - 14t + 45 = 0

t^2 - 9t - 5t + 45 = 0

t(t - 9) - 5(t - 9) = 0

(t - 5)(t - 9) = 0

t = 5 ~ or ~ t = 9

The rocket reaches 720 feet in 5 seconds and 9 seconds.

<h2>Question B:</h2>

The rocket hits the ground → h = 0 feet

0 = -16 t^2 + 224t

16 (t^2 - 14t ) = 0

t^2 - 14t = 0

t( t - 14 ) = 0

t = 0 ~ or ~ t = 14

The rocket completes its trajectory and hits the ground in 14 seconds

<h3>Learn more</h3>
  • method for solving a quadratic equation : brainly.com/question/10278062
  • solution(s) to the equation : brainly.com/question/4372455
  • best way to solve quadratic equation : brainly.com/question/9438071

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Quadratic Equation

Keywords: Quadratic , Equation , Formula , Rocket , Maximum , Minimum , Time , Trajectory , Ground

serious [3.7K]2 years ago
3 0
We can model the equation of the height of the rocket as ∩-shape curve as shown below

Part A: 

The time when the height is 720 feet

720 = -16 t^{2}+224t, rearrange to make one side is zero
16 t^{2}-224t+720=0, divide each term by 16
t^{2} -14t+45 =0, factorise to give
(t-9)(t-5)=0
t=9 and t=5

So the rocket reaches the height of 720 feet twice; when t=5 and t=9

Part B:

We will need to find the values of t when the rocket on the ground. The first value of t will be zero as this will be when t=0. We can find the other value of t by equating the function by 0

0=-16 t^{2}+224t
0=-16t(t-14)
-16t=0 and t-14=0
t=0 and t=14

So the time interval when the rocket was launched and when it hits the ground is 14-0 = 14 seconds




You might be interested in
How do you find area with all of the different numbers like this?
Anvisha [2.4K]

hopefully this helps !

4 0
3 years ago
Read 2 more answers
Solve for the right answers
maria [59]

Answer:

D

Step-by-step explanation:

There is a 100% chance that if she picks 3 disk, they are all DVD's since they are all DVD's.

6 0
3 years ago
Read 2 more answers
Plz help me with this!
Luba_88 [7]

Answer:

92

Step-by-step explanation:

5 0
2 years ago
Can someone Please help.
Nastasia [14]
Since it is mid-way you would multiply it by 2 so, 8x2=16
Your answer is 16.
Hope I helped <3
4 0
2 years ago
Tammy has 4 times as many books as Willy . Willy has 180 fewer books than Tammy . How many books does Willy have ?​
enyata [817]

Answer:

60 books

Step-by-step explanation:

let the number of books Willy has be x , then

Tammy has 4x books

Willy has 180 fewer books , that is Tammy has 180 more than Willy , so

4x = x + 180 ( subtract x from both sides )

3x = 180 ( divide both sides by 3 )

x = 60

Thus

Willy has 60 books andTammy has 4 × 60 = 240 books

which is 180 more than Willy

7 0
1 year ago
Other questions:
  • What is X^2=5x when solving by factoring
    14·1 answer
  • Compute single integral of y^2 dx +x dy where C is the circle x^2+y^2=16 oriented positively
    12·1 answer
  • The length of a rectangle is 3 cm greater than it's width. The area of the rectangle is 40 cm². Find the length and width of the
    6·1 answer
  • Please help!<br> A- answer as a percent rounded to nearest tenth<br> B- answer as a fraction
    13·1 answer
  • Evaluate the expression.
    14·1 answer
  • Charlie has been given a list of 4 bands and asked to place a vote. His vote must have the names of his favorite and second favo
    12·1 answer
  • Need help asp! the graphs below have the same shape. what is the equation of the red graph?
    6·1 answer
  • Help me with this question please
    10·1 answer
  • Point B has coordinates ​(4,1​). The​ x-coordinate of point A is -8. The distance between point A and point B is 13 units. What
    11·1 answer
  • If you put $750 into a savings account that earns 6.2%, how much interest will you receive at the end of 7 years?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!