We appreciate your visit to A smoke jumper jumps from a plane that is 1500 feet above the ground The function tex h 16t 2 1500 tex gives the jumper. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The smoke jumper will reach the ground after approximately t = (5√6) / 2 seconds.
The function h = -16t² + 1500 represents the height of a smoke jumper, in feet, above the ground at time t in seconds during a free fall.
To find the time it takes for the smoke jumper to reach the ground, we need to set the height h equal to 0 and solve for t.
0 = -16t² + 1500
To solve this quadratic equation, we can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
In this case, a = -16, b = 0, and c = 1500.
t = (-0 ± √(0² - 4(-16)(1500))) / (2(-16))
Simplifying further:
t = ± √(0 - (-96000)) / (-32)
t = ± √(96000) / (-32)
t = ± √(2400) / (-8)
t = ± (20√6) / (-8)
Simplifying the expression:
t = ± (5√6) / 2
Since time cannot be negative in this context, we can ignore the negative solution.
Therefore, the smoke jumper will reach the ground after approximately t = (5√6) / 2 seconds.
Learn more about quadratic equation visit:
brainly.com/question/30098550
#SPJ11
Thanks for taking the time to read A smoke jumper jumps from a plane that is 1500 feet above the ground The function tex h 16t 2 1500 tex gives the jumper. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
