Question

A ball is hit from the ground. When the ball has traveled a horizontal distance of d meters, its height, h, in

meters, can be modeled by the function h (d) = -
1 d + d.
What is the horizontal distance from the point where the ball is hit to the point where the ball lands on the
ground?
nour in the snaca nrovided

Answer 1

125 meters

Explanation:

The ball will hit the ground when its height is zero. Use that value for h in the equation, and solve for d.

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h(d) = -d²/125 +d . . . . the given equation

0 = d(-d/125 +1) . . . . . use h=0, and factor out d

This equation is satisfied by values of d that make the factors zero:

d = 0 ⇒ d = 0

-d/125 +1 = 0 ⇒ d = 125

The horizontal distance to the landing point is 125 meters.