SOLUTION: Suppose a particular star is projected from an aerial firework at a stating height of 520 ft with an initial upward velocity off 72ft/s. How long will it take for the star to reach
Algebra.Com
Question 584986: Suppose a particular star is projected from an aerial firework at a stating height of 520 ft with an initial upward velocity off 72ft/s. How long will it take for the star to reach its maximum height? How far will it be?
The equation is h= -16t^2+ 72t +520
also, describe the importance of quadratics (one paragraph) and how quadratics helps people to understand something in the real world
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose a particular star is projected from an aerial firework at a stating height of 520 ft with an initial upward velocity off 72ft/s.
How long will it take for the star to reach its maximum height?
:
The equation is h= -16t^2+ 72t + 520
Max height occurs at the axis of symmetry; use the formula x = -b/(2a)
t =
t =
t = +2.25 secs to reach max height
:
" How far will it be?" Assume you mean how high.
Replace t with 2.25 sec in the original equation
h = -16(2.25^2)+ 72(2.25) + 520
h = -16(5.0625)+ 162 + 520
h = -81 + 162 + 520
h = 601 ft is the max height
:
describe the importance of quadratics (one paragraph) and how quadratics helps people to understand something in the real world
:
Many things that happen in the world are not linear, quadratic equations help us calculate phenomena which are not linear like the above example
RELATED QUESTIONS
A firework is launched off a building with an initial height of 152 ft, and an initial... (answered by richwmiller,ikleyn)
A firework is launched upward at an initial velocity of 49 m/s, from a height
of 1.5 m... (answered by Boreal,ikleyn)
If an object is projected upward with an initial velocity of 48 ft pe second from a... (answered by ankor@dixie-net.com,Earlsdon)
if an object is projected upward with an initial velocity off 64 ft per sec from a height (answered by jorel1380,lwsshak3)
A ball is projected directly upward from and initial height of 200 feet with an initial... (answered by jorel1380,ikleyn)
The height s of an object projected directly upward from an initial height 𝑠0... (answered by ikleyn)
An object is projected upward with an initial velocity of 251 feet per second from a... (answered by ankor@dixie-net.com)
An object is projected vertically upward from the top of a building with an initial... (answered by josmiceli,amalm06)
A rock is thrown upward at an initial velocity of 30 ft/sec from a height of 20 feet.... (answered by bucky)