We appreciate your visit to If a toy rocket is launched vertically upward from ground level with an initial velocity of 148 ft per second then its height h after. 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 :
Answer:
The rocket will take 9.25 seconds to return to ground
.
Solution:
Given:
Initial velocity = 148 ft per seconds
Height "h" after "t" seconds is given by equation:
[tex]h(t) = -16t^2 + 148t[/tex]
To find:
Time taken by rocket to return to ground =?
Solution:
The time taken by rocket to return to ground can found by substituting h(t) = 0 in the given equation.
[tex]0 = -16t^2 + 148t[/tex]
Taking t outside
t(-16t + 148) = 0
Zero product property. The zero product property states that if a⋅b = 0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5) = 0
So for above equation we get,
t =[tex]0 \text{ or } -16t + 148 = 0[/tex]
[tex]-16t + 148 = 0[/tex]
[tex]-16t = -148[/tex]
t = 9.25
When t = 0 , the rocket would not left the ground. So ignore t = 0
So t = 9.25
Thanks for taking the time to read If a toy rocket is launched vertically upward from ground level with an initial velocity of 148 ft per second then its height h after. 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
Final answer:
The rocket will take approximately 9.25 seconds to return to the ground.
Explanation:
To find the time it will take for the rocket to return to the ground, we need to determine when the height of the rocket, h(t), equals zero. Given the equation h(t) = -16t^2 + 148t, we can set it equal to zero and solve for t.
First, we set -16t^2 + 148t = 0 and factor out -4t: -4t(4t - 37) = 0. This equation equals zero when -4t = 0 or 4t - 37 = 0. Solving, we find t = 0 and t = 9.25.
Since time cannot be negative, we can ignore t = 0. Therefore, it will take the rocket approximately 9.25 seconds to return to the ground.
Learn more about Projectile Motion here:
https://brainly.com/question/29545516
#SPJ3
