SOLUTION: A model rocket is launced into the air and follows a parabolic path described by the function h(t)=-5t^2 + 40t +2, where t is time in seconds after the rocket is launched and h(t)

Question 395290: A model rocket is launced into the air and follows a parabolic path described by the function h(t)=-5t^2 + 40t +2, where t is time in seconds after the rocket is launched and h(t) is the height of the rocket above the ground in metres. Algebraically determine the maximum height reached by the rocket and the time it takes the rocket to reach it's maximum height.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A model rocket is launced into the air and follows a parabolic path described by the function h(t)=-5t^2 + 40t +2, where t is time in seconds after the rocket is launched and h(t) is the height of the rocket above the ground in metres. Algebraically determine the maximum height reached by the rocket and the time it takes the rocket to reach it's maximum height.
------------------------
h(t)=-5t^2 + 40t +2
---
Max occurs when t = -b/(2a) = -40/(2*-5) = 4 seconds
-----
Max height = h(4) = -5(4^2)+40(4)+2 = 82 meters
---------------------
Cheers,
Stan H.
RELATED QUESTIONS
a model rocket is shot into the air and its path is apporoximated by h=-5t^2 + 30t, where (answered by nerdybill)

A model rocket is launched from the roof of a building. It's flight path is b modeled by... (answered by Boreal)

A model rocket is shot into the air and its path is approximated by h = -5t^2 + 30t where (answered by Earlsdon)

Tom throws a ball into the air. The ball travels along a parabolic path represented by... (answered by lwsshak3)

Please help me solve this word problem: A disc is thrown into the air and follows a path... (answered by josmiceli)

Please help me solve this word problem: A disc is thrown into the air and follows a path... (answered by josgarithmetic)

a ball is kicked into the air and follows the path described by h(t)-4.9t^2+6t+0.6.... (answered by nerdybill,Earlsdon)

A model rocket is launched from the roof of a building. Its flight path through the air... (answered by ikleyn)

A golf ball is hit high into the air. The path of the ball can be described by the... (answered by stanbon)