SOLUTION: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/sec from a cliff 50 ft above an ocean beach is given by the function s(t)=-16t^2+64t+50, where t is the

Question 745110: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/sec from a cliff 50 ft above an ocean beach is given by the function s(t)=-16t^2+64t+50, where t is the time in seconds. Find the maximum height above the beach that the rock will attain.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The maximum height of this parabolic curve is
when and
the equation has the form:

In your equation,

, so

sec
--------------
Now find which is the maximum height

ft
The maximum height is 114 ft
Here's the plot:

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