We appreciate your visit to A toy rocket is launched vertically upward from a 12 foot platform with an initial velocity of 128 feet per second Its height h at. 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 :
Final answer:
To determine when the toy rocket reaches the ground, solve the quadratic equation h(t) = -16t^2 + 128t + 12 by finding the positive root, which gives 8.124 seconds as the time for the rocket to hit the ground.
Explanation:
To find out how long it will take the toy rocket to reach the ground, we need to solve the equation h(t) = -16t2 + 128t + 12 for the time t when the height h(t) is zero, as that represents the ground level.
Set the equation equal to zero and factor or use the quadratic formula:
- 0 = -16t2 + 128t + 12
Solve for t:
- t = (-b ± √(b2 - 4ac)) / (2a)
- t = (-128 ± √(1282 - 4(-16)(12)) / (-32)
- t = (-128 ± √(16384 + 768)) / (-32)
- t = (-128 ± √(17152)) / (-32)
- t = (-128 ± 130.969) / (-32)
- t = (128 - 130.969) / (-32) or t = (128 + 130.969) / (-32)
- t = -0.093 or t = 8.124
Because time cannot be negative for the scenario after launch, the rocket will hit the ground 8.124 seconds after it is launched.
Thanks for taking the time to read A toy rocket is launched vertically upward from a 12 foot platform with an initial velocity of 128 feet per second Its height h at. 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
