SOLUTION: Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object      Log On


   

Question 338458: Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form,
s%28t%29+=+-16t%5E2+%2B48t+%2B+46
s%28t%29=-16%28t%5E2-3t%29%2B46
s%28t%29=-16%28t%5E2-3t%2B9%2F4%29%2B46%2B16%289%2F4%29
s%28t%29=-16%28t-3%2F2%29%5E2%2B46%2B36
s%28t%29=-16%28t-3%2F2%29%5E2%2B82
The max height occurs at the vertex, (3/2,82).
smax=82ft.