Mathematics : Problem

Feb 3rd, 2012
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A projectile follows a parabolic path whose height in meters is given by the function f (x) = - x2 + 2x + 2. Find the maximum horizontal distance that the projectile may cover.

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QUESTION: A projectile follows a parabolic path whose height in meters is given by the function f (x) = - x2 + 2x + 2. Find the maximum horizontal distance that the projectile may cover.SOLUTION: As Given function is f(x) = - x2 + 2x + 2 ?????1Where f(x) is the height and "x" is the horizontal distance, thenSo the horizontal distance "x" will be greatest when height f(x) = 0So by putting f(x) = 0 in equation 1, we get 0 = - x2 + 2x + 2Or - x2 + 2x + 2 = 0 ??????2Now we use the quadratic formula to find the distance "x", then

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