![kelseybell2707](/avatars/40953.jpg)
kelseybell2707
14.11.2019 •
Mathematics
Abullet is shot straight upward with an initial speed of 925 ft/s. the height of the bullet after t seconds is modeled by the function h(t) = −16t2 + 925t where h is measured in feet. use the function h to find the average speed of the bullet during the given time intervals
Solved
Show answers
More tips
- H Health and Medicine Everything You Wanted to Know About Male Circumcision: Its Goals and Effects...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
Answers on questions: Mathematics
- M Mathematics Please help me if you can step by step...
- M Mathematics Two boats leave a jetty at 14 00.The first one returns to the jetty every 25 minutes and the second one returns every 30 minutes.At what time will the two boats next...
- M Mathematics Select the correct answer. Which of the following represents a function?...
- M Mathematics The coordinate plane below shows the graph of () after a transformation of (−h) is performed....
- M Mathematics Function () undergoes a single transformation to create function . The graphs of both () and () are shown....
- M Mathematics La suma de un número natural y el siguiente es 13. Averigua mentalmente cuáles son estos números. Después plantea una ecuación y resuelve con ella el problema planteado...
- M Mathematics If the original function () = 22 − 1 is shifted to the left 3 units to make the function (), which expression would represent ()?...
- M Mathematics God bless whoever soul that answers this...
- M Mathematics What is 12.5 percent of 200...
- M Mathematics What is the inverse of y = 10^x ?...
Ответ:
462 ft/s
Step-by-step explanation:
The height of the bullet is modeled by:
h(t) = -16t² + 925t (1)
The speed of the bullet is modeled by the first derivative of equation (1)
dh/dt= -32t + 925 (2)
At maximum height, dh/dt = 0
0 = -32t + 925
32t = 925
t = 925/32
= 28.91 seconds
This means that the total time to reach maximum height is 28.91 seconds
Substituting into equation (1) we can calculate the maximum height:
h = -16 (28.91)² +925 (28.91)
= -13,372.61 + 26,742.675
= 13,367.065 ft
Average speed = Total distance/ Total time
= 13,367.065/28.91
= 462.368
≈ 462 ft/s
Ответ:
answer: ? ?
step-by-step explanation: whats the question?