A golfer hit a golf ball towards the 50 yard whole ball falls a part of Wallick path given by the function H times X equals 1/25 times XX -45 for each of the height of the car for the next is a horizontal distance it has traveled
To determine the horizontal distance the golf ball has traveled, we need to find the value of x when the height (H) of the golf ball is 0.
The given equation H * x = (1/25)x^2 - 45 represents the height of the golf ball as a function of the horizontal distance traveled (x).
Setting H = 0, the equation becomes:
0 * x = (1/25)x^2 - 45
Simplifying the equation gives:
0 = (1/25)x^2 - 45
Now, we need to solve this quadratic equation to find the values of x.
Rearranging the equation gives:
(1/25)x^2 - 45 = 0
Multiplying both sides by 25:
x^2 - 1125 = 0
Next, we can factor the quadratic equation as:
(x - 15)(x + 15) = 0
Setting each factor equal to zero:
x - 15 = 0 or x + 15 = 0
Solving for x gives two possible solutions:
x = 15 or x = -15
Since we are considering the distance traveled, the negative value (-15) does not make sense in this context. Therefore, the golf ball has traveled a horizontal distance of 15 yards.