We appreciate your visit to A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 168 feet. 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 :
In linear equation,
The rocket will be reach its maximum height at t= 3 seconds.
The maximum height 'h' = 75
What in mathematics is a linear equation?
An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.
An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value.
Given the function 'h' = − 16t² +168t +3 ...(i)
Differentiating equation (i) with respective to 't' we get
dh/dt = - 32t + 168
- 32t + 168 = 0
-32t = -168
t = 5.25
Again Differentiating equation (ii) with respective to 't' we get
d²h/dt² = -32 (1) < 0
The maximum height at t= 3
The rocket will be reach its maximum height at t= 3 second
The maximum height
h = -16 (3)² + 168 (3) + 3
= 75
The rocket will be reach its maximum height at t= 3 seconds
The maximum height 'h' = 75
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
Thanks for taking the time to read A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 168 feet. 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
