SOLUTION: A projectile follows a parabolic path whose height, in meters, is given by the function f(x) = -x^2 + 2x +2. Find the maximum horizontal distance that the projectile may cover.
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Question 828022: A projectile follows a parabolic path whose height, in meters, is given by the function f(x) = -x^2 + 2x +2. Find the maximum horizontal distance that the projectile may cover.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The horizontal distance, , is
greatest at where
is the height
Use the quadratic formula
maximum distance of projectile
Notice that I used the minus square root to get
the greatest possible positive result
Here's the plot:
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