Problema 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.

Answer provided by our tutors

The horizontal distance, x, is greatest at f(x) = 0 and x>0


-x^2+2x+2 = 0


by solving we find:


x = 2.73 m


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the maximum horizontal distance that the projectile may cover is 2.73 meters.