SOLUTION: need help..The altitude in feet of a projectile t seconds after launch is given by the function s(t)=-16t^2+32t+3. How long after launch will it take for the projectile to reach i

Question 62899: need help..The altitude in feet of a projectile t seconds after launch is given by the function s(t)=-16t^2+32t+3. How long after launch will it take for the projectile to reach its maximum height? What is the maximum height?
thanks for your help
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
s(t)=-16t^2+32t+3. How long after launch will it take for the projectile to reach its maximum height? What is the maximum height?
---------------
You have a quadratic with a=-16, b=32
Since a is negative, the function has a maximum at x=-b/(2a)
=-32/(-32)=1 second.
The height at that time is:
f(1)=-16+32+3=19 ft.
Cheers,
Stan H.

RELATED QUESTIONS
The altitude of a rocket t seconds after launch is given by the function... (answered by MathLover1,rothauserc)

The altitude in feet of a toy rocket t seconds after launch is given by the function S(t) (answered by vleith)

The altitude in feet of a toy rocket t seconds after launch is given by the function S(t) (answered by josmiceli)

A projectile is launched from ground level with an initial velocity of V0 feet per... (answered by Alan3354)

Height of a projectile. The height H, in feet, of a projectile with an initial velocity... (answered by Alan3354,scott8148)

A projectile is launched from ground level with an initial velocity of v0 feet per... (answered by math_tutor2020)

A projectile is fired vertically upward and its height s(t) in feet after t seconds is... (answered by MathLover1,stanbon,Alan3354)

a stone is thrown upward from a bridge. the stones height s(t) in ft, above the water t... (answered by lwsshak3)

A catapult is designed to launch extreme circus performers to ridiculous heights from a... (answered by Alan3354)