![alexisozl9253](/avatars/3352.jpg)
alexisozl9253
04.11.2021 •
Mathematics
A rocket is launched upward with a velocity of 96 feet per second from the top of a 40 foot stage. What is the maximum height attained by the rocket?
Solved
Show answers
More tips
- H Health and Medicine What to Take with You to the Maternity Hospital?...
- F Family and Home How to Choose the Perfect Air Conditioner for Your Life...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Understanding Pregnancy Tests: What You Need to Know?...
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
Answers on questions: Mathematics
- M Mathematics Which direction (left or right ) would you go on the number line to graph the solutions of the inequality b 4...
- M Mathematics Help me plz . I rlly need it :/...
- M Mathematics An artist can paint 23,760 square feet in 12 hour. How many square feet can they paint in 2 hours? also i need to justify my answer so give me the steps and what to rught...
- M Mathematics Can someone please help me thank you , number 1....
- M Mathematics Time. Blues Sub Maths31 Find the value of:(a) (-9) + (-17) – 18 + 24 +6 (b) |(-81)+(-9)| - 165 + (-13)]2. To the product of(-7) and (-11), add the sum of (-7).(-18) and (-20).3....
- M Mathematics Given |u|| = 3 and Iv|| = 5, and the vectors make angles of Oº and 60° and with the x-axis respectively, find the component form of the sum of u and v. Round answers to two...
- M Mathematics Please provide me the solution of math geometry from exercise 11.2...
- M Mathematics Given Y Z tangent to j at point Y and m...
- M Mathematics Which of the following is equivalent to 32 m select all that apply...
- M Mathematics Find the value of 15×20...
Ответ:
2344 feet is the max height
Step-by-step explanation:
1) we find the function.
the function will be a parabola with a y intercept of 40.
the max height will be at the vertex.
f(x) = ax^2 + bx + 40
2) we find the derivative
f'(x) = 2ax + b
3) since the velocity is 96 at x = 0, we get the function:
f'(x) = 2ax + 96
4) find the x intercept of the velocity function
0 = 2ax + 96
-96 = 2ax
-48/a = x
This is the time in seconds when the max height is reached.
5) we finish the equation f(x)
since the antiderivative of 96 is 96x, we can write the equation:
f(x) = -ax^2 + 96x + 40
a will be negative since the parabola is opening downwards.
6) Since -48/a and -b/2a are both equal, a = 1
f(x) = -x^2 + 96x + 40
7) substitute 48 into x
-48/a = 48
f(48) = -(48^2) + 96(48) + 40
f(48) = -2304 + 4608 + 40
f(48) = 2344
2344 feet is the max height
Ответ:
1/2 pound of fruits.
change 1/5 to a common denominator (2/10) and then add to 3/10. you get 5/10 and then whne you simplify you get 1/2 lb of fruits.
hope it helps!